Finding the Third Proportional to 85.50 and 113.06

Step by Step Solution

1. Step 1: Write the proportion equation
   85.50 : 113.06 = 113.06 : x
2. Step 2: Convert to fraction form
   85.50/113.06 = 113.06/x
3. Step 3: Cross multiply
   85.50x = 113.06 × 113.06
4. Step 4: Simplify right side
   85.50x = 12,783.13
5. Step 5: Solve for x
   x = 12,783.13/85.50
6. Step 6: Final answer
   x = 149.51