Finding the Third Proportional to 152,724 and 224,509

Step by Step Solution

1. Step 1: Write the proportion equation
   152,724 : 224,509 = 224,509 : x
2. Step 2: Convert to fraction form
   152,724/224,509 = 224,509/x
3. Step 3: Cross multiply
   152,724x = 224,509 × 224,509
4. Step 4: Simplify right side
   152,724x = 50,404,291,081
5. Step 5: Solve for x
   x = 50,404,291,081/152,724
6. Step 6: Final answer
   x = 330,035.17