Finding the Third Proportional to 62,838 and 136,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   62,838 : 136,732.50 = 136,732.50 : x
2. Step 2: Convert to fraction form
   62,838/136,732.50 = 136,732.50/x
3. Step 3: Cross multiply
   62,838x = 136,732.50 × 136,732.50
4. Step 4: Simplify right side
   62,838x = 18,695,776,556.25
5. Step 5: Solve for x
   x = 18,695,776,556.25/62,838
6. Step 6: Final answer
   x = 297,523.42