Finding the Third Proportional to 62,424 and 137,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   62,424 : 137,572.50 = 137,572.50 : x
2. Step 2: Convert to fraction form
   62,424/137,572.50 = 137,572.50/x
3. Step 3: Cross multiply
   62,424x = 137,572.50 × 137,572.50
4. Step 4: Simplify right side
   62,424x = 18,926,192,756.25
5. Step 5: Solve for x
   x = 18,926,192,756.25/62,424
6. Step 6: Final answer
   x = 303,187.76