Finding the Third Proportional to 465,419 and 711,665

Step by Step Solution

1. Step 1: Write the proportion equation
   465,419 : 711,665 = 711,665 : x
2. Step 2: Convert to fraction form
   465,419/711,665 = 711,665/x
3. Step 3: Cross multiply
   465,419x = 711,665 × 711,665
4. Step 4: Simplify right side
   465,419x = 506,467,072,225
5. Step 5: Solve for x
   x = 506,467,072,225/465,419
6. Step 6: Final answer
   x = 1,088,195.95