Finding the Third Proportional to 147.50 and 237.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147.50 : 237.50 = 237.50 : x
2. Step 2: Convert to fraction form
   147.50/237.50 = 237.50/x
3. Step 3: Cross multiply
   147.50x = 237.50 × 237.50
4. Step 4: Simplify right side
   147.50x = 56,406.25
5. Step 5: Solve for x
   x = 56,406.25/147.50
6. Step 6: Final answer
   x = 382.42