Finding the Third Proportional to 152,280 and 224,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,280 : 224,005.50 = 224,005.50 : x
2. Step 2: Convert to fraction form
   152,280/224,005.50 = 224,005.50/x
3. Step 3: Cross multiply
   152,280x = 224,005.50 × 224,005.50
4. Step 4: Simplify right side
   152,280x = 50,178,464,030.25
5. Step 5: Solve for x
   x = 50,178,464,030.25/152,280
6. Step 6: Final answer
   x = 329,514.47