Finding the Third Proportional to 117.56 and 158.06

Step by Step Solution

1. Step 1: Write the proportion equation
   117.56 : 158.06 = 158.06 : x
2. Step 2: Convert to fraction form
   117.56/158.06 = 158.06/x
3. Step 3: Cross multiply
   117.56x = 158.06 × 158.06
4. Step 4: Simplify right side
   117.56x = 24,983.75
5. Step 5: Solve for x
   x = 24,983.75/117.56
6. Step 6: Final answer
   x = 212.51