Finding the Third Proportional to 189,496,598,681 and 421,361,932,499

Step by Step Solution

1. Step 1: Write the proportion equation
   189,496,598,681 : 421,361,932,499 = 421,361,932,499 : x
2. Step 2: Convert to fraction form
   189,496,598,681/421,361,932,499 = 421,361,932,499/x
3. Step 3: Cross multiply
   189,496,598,681x = 421,361,932,499 × 421,361,932,499
4. Step 4: Simplify right side
   189,496,598,681x = 177,545,878,159,291,825,782,784
5. Step 5: Solve for x
   x = 177,545,878,159,291,825,782,784/189,496,598,681
6. Step 6: Final answer
   x = 936,934,379,799.47