Finding the Third Proportional to 152,851.50 and 224,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,851.50 : 224,578.50 = 224,578.50 : x
2. Step 2: Convert to fraction form
   152,851.50/224,578.50 = 224,578.50/x
3. Step 3: Cross multiply
   152,851.50x = 224,578.50 × 224,578.50
4. Step 4: Simplify right side
   152,851.50x = 50,435,502,662.25
5. Step 5: Solve for x
   x = 50,435,502,662.25/152,851.50
6. Step 6: Final answer
   x = 329,964.07