Finding the Third Proportional to 147.50 and 212.25

Step by Step Solution

1. Step 1: Write the proportion equation
   147.50 : 212.25 = 212.25 : x
2. Step 2: Convert to fraction form
   147.50/212.25 = 212.25/x
3. Step 3: Cross multiply
   147.50x = 212.25 × 212.25
4. Step 4: Simplify right side
   147.50x = 45,050.06
5. Step 5: Solve for x
   x = 45,050.06/147.50
6. Step 6: Final answer
   x = 305.42