Finding the Third Proportional to 510,025,869 and 1,081,342,676.25

Step by Step Solution

1. Step 1: Write the proportion equation
   510,025,869 : 1,081,342,676.25 = 1,081,342,676.25 : x
2. Step 2: Convert to fraction form
   510,025,869/1,081,342,676.25 = 1,081,342,676.25/x
3. Step 3: Cross multiply
   510,025,869x = 1,081,342,676.25 × 1,081,342,676.25
4. Step 4: Simplify right side
   510,025,869x = 1,169,301,983,479,512,320
5. Step 5: Solve for x
   x = 1,169,301,983,479,512,320/510,025,869
6. Step 6: Final answer
   x = 2,292,632,696.79