Finding the Third Proportional to 62,538 and 147,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   62,538 : 147,535.50 = 147,535.50 : x
2. Step 2: Convert to fraction form
   62,538/147,535.50 = 147,535.50/x
3. Step 3: Cross multiply
   62,538x = 147,535.50 × 147,535.50
4. Step 4: Simplify right side
   62,538x = 21,766,723,760.25
5. Step 5: Solve for x
   x = 21,766,723,760.25/62,538
6. Step 6: Final answer
   x = 348,055.96