Finding the Third Proportional to 59.50 and 138.75

Step by Step Solution

1. Step 1: Write the proportion equation
   59.50 : 138.75 = 138.75 : x
2. Step 2: Convert to fraction form
   59.50/138.75 = 138.75/x
3. Step 3: Cross multiply
   59.50x = 138.75 × 138.75
4. Step 4: Simplify right side
   59.50x = 19,251.56
5. Step 5: Solve for x
   x = 19,251.56/59.50
6. Step 6: Final answer
   x = 323.56