Finding the Third Proportional to 268,412,685,499 and 416,761,864,443

Step by Step Solution

1. Step 1: Write the proportion equation
   268,412,685,499 : 416,761,864,443 = 416,761,864,443 : x
2. Step 2: Convert to fraction form
   268,412,685,499/416,761,864,443 = 416,761,864,443/x
3. Step 3: Cross multiply
   268,412,685,499x = 416,761,864,443 × 416,761,864,443
4. Step 4: Simplify right side
   268,412,685,499x = 173,690,451,654,005,519,024,128
5. Step 5: Solve for x
   x = 173,690,451,654,005,519,024,128/268,412,685,499
6. Step 6: Final answer
   x = 647,102,246,047.36