Finding the Third Proportional to 62.25 and 136.50

Step by Step Solution

1. Step 1: Write the proportion equation
   62.25 : 136.50 = 136.50 : x
2. Step 2: Convert to fraction form
   62.25/136.50 = 136.50/x
3. Step 3: Cross multiply
   62.25x = 136.50 × 136.50
4. Step 4: Simplify right side
   62.25x = 18,632.25
5. Step 5: Solve for x
   x = 18,632.25/62.25
6. Step 6: Final answer
   x = 299.31