Finding the Third Proportional to 148.50 and 265.88

Step by Step Solution

1. Step 1: Write the proportion equation
   148.50 : 265.88 = 265.88 : x
2. Step 2: Convert to fraction form
   148.50/265.88 = 265.88/x
3. Step 3: Cross multiply
   148.50x = 265.88 × 265.88
4. Step 4: Simplify right side
   148.50x = 70,689.52
5. Step 5: Solve for x
   x = 70,689.52/148.50
6. Step 6: Final answer
   x = 476.02