Finding the Third Proportional to 466,762 and 724,144

Step by Step Solution

1. Step 1: Write the proportion equation
   466,762 : 724,144 = 724,144 : x
2. Step 2: Convert to fraction form
   466,762/724,144 = 724,144/x
3. Step 3: Cross multiply
   466,762x = 724,144 × 724,144
4. Step 4: Simplify right side
   466,762x = 524,384,532,736
5. Step 5: Solve for x
   x = 524,384,532,736/466,762
6. Step 6: Final answer
   x = 1,123,451.64