Finding the Third Proportional to 59.80 and 124.35

Step by Step Solution

1. Step 1: Write the proportion equation
   59.80 : 124.35 = 124.35 : x
2. Step 2: Convert to fraction form
   59.80/124.35 = 124.35/x
3. Step 3: Cross multiply
   59.80x = 124.35 × 124.35
4. Step 4: Simplify right side
   59.80x = 15,462.34
5. Step 5: Solve for x
   x = 15,462.34/59.80
6. Step 6: Final answer
   x = 258.56