Finding the Third Proportional to 52.50 and 78.88

Step by Step Solution

1. Step 1: Write the proportion equation
   52.50 : 78.88 = 78.88 : x
2. Step 2: Convert to fraction form
   52.50/78.88 = 78.88/x
3. Step 3: Cross multiply
   52.50x = 78.88 × 78.88
4. Step 4: Simplify right side
   52.50x = 6,221.27
5. Step 5: Solve for x
   x = 6,221.27/52.50
6. Step 6: Final answer
   x = 118.50