Finding the Third Proportional to 147.50 and 249.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147.50 : 249.50 = 249.50 : x
2. Step 2: Convert to fraction form
   147.50/249.50 = 249.50/x
3. Step 3: Cross multiply
   147.50x = 249.50 × 249.50
4. Step 4: Simplify right side
   147.50x = 62,250.25
5. Step 5: Solve for x
   x = 62,250.25/147.50
6. Step 6: Final answer
   x = 422.04