Finding the Third Proportional to 78.63 and 114.88

Step by Step Solution

1. Step 1: Write the proportion equation
   78.63 : 114.88 = 114.88 : x
2. Step 2: Convert to fraction form
   78.63/114.88 = 114.88/x
3. Step 3: Cross multiply
   78.63x = 114.88 × 114.88
4. Step 4: Simplify right side
   78.63x = 13,196.27
5. Step 5: Solve for x
   x = 13,196.27/78.63
6. Step 6: Final answer
   x = 167.84