Finding the Third Proportional to 82.75 and 147.88

Step by Step Solution

1. Step 1: Write the proportion equation
   82.75 : 147.88 = 147.88 : x
2. Step 2: Convert to fraction form
   82.75/147.88 = 147.88/x
3. Step 3: Cross multiply
   82.75x = 147.88 × 147.88
4. Step 4: Simplify right side
   82.75x = 21,867.02
5. Step 5: Solve for x
   x = 21,867.02/82.75
6. Step 6: Final answer
   x = 264.25