Finding the Third Proportional to 466,644 and 723,942

Step by Step Solution

1. Step 1: Write the proportion equation
   466,644 : 723,942 = 723,942 : x
2. Step 2: Convert to fraction form
   466,644/723,942 = 723,942/x
3. Step 3: Cross multiply
   466,644x = 723,942 × 723,942
4. Step 4: Simplify right side
   466,644x = 524,092,019,364
5. Step 5: Solve for x
   x = 524,092,019,364/466,644
6. Step 6: Final answer
   x = 1,123,108.88