Finding the Third Proportional to 187.52 and 265.46

Step by Step Solution

1. Step 1: Write the proportion equation
   187.52 : 265.46 = 265.46 : x
2. Step 2: Convert to fraction form
   187.52/265.46 = 265.46/x
3. Step 3: Cross multiply
   187.52x = 265.46 × 265.46
4. Step 4: Simplify right side
   187.52x = 70,471.58
5. Step 5: Solve for x
   x = 70,471.58/187.52
6. Step 6: Final answer
   x = 375.80