Finding the Third Proportional to 78.59 and 102.68

Step by Step Solution

1. Step 1: Write the proportion equation
   78.59 : 102.68 = 102.68 : x
2. Step 2: Convert to fraction form
   78.59/102.68 = 102.68/x
3. Step 3: Cross multiply
   78.59x = 102.68 × 102.68
4. Step 4: Simplify right side
   78.59x = 10,543.12
5. Step 5: Solve for x
   x = 10,543.12/78.59
6. Step 6: Final answer
   x = 134.16