Finding the Third Proportional to 225,534 and 497,724

Step by Step Solution

1. Step 1: Write the proportion equation
   225,534 : 497,724 = 497,724 : x
2. Step 2: Convert to fraction form
   225,534/497,724 = 497,724/x
3. Step 3: Cross multiply
   225,534x = 497,724 × 497,724
4. Step 4: Simplify right side
   225,534x = 247,729,180,176
5. Step 5: Solve for x
   x = 247,729,180,176/225,534
6. Step 6: Final answer
   x = 1,098,411.68