Finding the Third Proportional to 1,020,517,790,507.10 and 2,186,598,507,993.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020,517,790,507.10 : 2,186,598,507,993.40 = 2,186,598,507,993.40 : x
2. Step 2: Convert to fraction form
   1,020,517,790,507.10/2,186,598,507,993.40 = 2,186,598,507,993.40/x
3. Step 3: Cross multiply
   1,020,517,790,507.10x = 2,186,598,507,993.40 × 2,186,598,507,993.40
4. Step 4: Simplify right side
   1,020,517,790,507.10x = 4,781,213,035,158,962,654,150,656
5. Step 5: Solve for x
   x = 4,781,213,035,158,962,654,150,656/1,020,517,790,507.10
6. Step 6: Final answer
   x = 4,685,085,433,721.99