Finding the Third Proportional to 147.38 and 215.25

Step by Step Solution

1. Step 1: Write the proportion equation
   147.38 : 215.25 = 215.25 : x
2. Step 2: Convert to fraction form
   147.38/215.25 = 215.25/x
3. Step 3: Cross multiply
   147.38x = 215.25 × 215.25
4. Step 4: Simplify right side
   147.38x = 46,332.56
5. Step 5: Solve for x
   x = 46,332.56/147.38
6. Step 6: Final answer
   x = 314.39