Finding the Third Proportional to 82.50 and 145.88

Step by Step Solution

1. Step 1: Write the proportion equation
   82.50 : 145.88 = 145.88 : x
2. Step 2: Convert to fraction form
   82.50/145.88 = 145.88/x
3. Step 3: Cross multiply
   82.50x = 145.88 × 145.88
4. Step 4: Simplify right side
   82.50x = 21,279.52
5. Step 5: Solve for x
   x = 21,279.52/82.50
6. Step 6: Final answer
   x = 257.93