Finding the Third Proportional to 85.78 and 116.30

Step by Step Solution

1. Step 1: Write the proportion equation
   85.78 : 116.30 = 116.30 : x
2. Step 2: Convert to fraction form
   85.78/116.30 = 116.30/x
3. Step 3: Cross multiply
   85.78x = 116.30 × 116.30
4. Step 4: Simplify right side
   85.78x = 13,524.96
5. Step 5: Solve for x
   x = 13,524.96/85.78
6. Step 6: Final answer
   x = 157.67