Finding the Third Proportional to 169,854,906,723 and 263,732,123,592

Step by Step Solution

1. Step 1: Write the proportion equation
   169,854,906,723 : 263,732,123,592 = 263,732,123,592 : x
2. Step 2: Convert to fraction form
   169,854,906,723/263,732,123,592 = 263,732,123,592/x
3. Step 3: Cross multiply
   169,854,906,723x = 263,732,123,592 × 263,732,123,592
4. Step 4: Simplify right side
   169,854,906,723x = 69,554,633,014,345,964,978,176
5. Step 5: Solve for x
   x = 69,554,633,014,345,964,978,176/169,854,906,723
6. Step 6: Final answer
   x = 409,494,399,403.93