Finding the Third Proportional to 382,043,142,707 and 817,754,268,139

Step by Step Solution

1. Step 1: Write the proportion equation
   382,043,142,707 : 817,754,268,139 = 817,754,268,139 : x
2. Step 2: Convert to fraction form
   382,043,142,707/817,754,268,139 = 817,754,268,139/x
3. Step 3: Cross multiply
   382,043,142,707x = 817,754,268,139 × 817,754,268,139
4. Step 4: Simplify right side
   382,043,142,707x = 668,722,043,059,551,485,296,640
5. Step 5: Solve for x
   x = 668,722,043,059,551,485,296,640/382,043,142,707
6. Step 6: Final answer
   x = 1,750,383,577,941.65