Finding the Third Proportional to 312,231,962,653 and 421,274,227,978

Step by Step Solution

1. Step 1: Write the proportion equation
   312,231,962,653 : 421,274,227,978 = 421,274,227,978 : x
2. Step 2: Convert to fraction form
   312,231,962,653/421,274,227,978 = 421,274,227,978/x
3. Step 3: Cross multiply
   312,231,962,653x = 421,274,227,978 × 421,274,227,978
4. Step 4: Simplify right side
   312,231,962,653x = 177,471,975,158,459,905,605,632
5. Step 5: Solve for x
   x = 177,471,975,158,459,905,605,632/312,231,962,653
6. Step 6: Final answer
   x = 568,397,846,429.62