Finding the Third Proportional to 78.05 and 124.88

Step by Step Solution

1. Step 1: Write the proportion equation
   78.05 : 124.88 = 124.88 : x
2. Step 2: Convert to fraction form
   78.05/124.88 = 124.88/x
3. Step 3: Cross multiply
   78.05x = 124.88 × 124.88
4. Step 4: Simplify right side
   78.05x = 15,593.77
5. Step 5: Solve for x
   x = 15,593.77/78.05
6. Step 6: Final answer
   x = 199.80