Finding the Third Proportional to 82.94 and 152.92

Step by Step Solution

1. Step 1: Write the proportion equation
   82.94 : 152.92 = 152.92 : x
2. Step 2: Convert to fraction form
   82.94/152.92 = 152.92/x
3. Step 3: Cross multiply
   82.94x = 152.92 × 152.92
4. Step 4: Simplify right side
   82.94x = 23,385.10
5. Step 5: Solve for x
   x = 23,385.10/82.94
6. Step 6: Final answer
   x = 281.96