Finding the Third Proportional to 152,650 and 224,558

Step by Step Solution

1. Step 1: Write the proportion equation
   152,650 : 224,558 = 224,558 : x
2. Step 2: Convert to fraction form
   152,650/224,558 = 224,558/x
3. Step 3: Cross multiply
   152,650x = 224,558 × 224,558
4. Step 4: Simplify right side
   152,650x = 50,426,295,364
5. Step 5: Solve for x
   x = 50,426,295,364/152,650
6. Step 6: Final answer
   x = 330,339.31