Finding the Third Proportional to 63,723.38 and 138,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,723.38 : 138,523.50 = 138,523.50 : x
2. Step 2: Convert to fraction form
   63,723.38/138,523.50 = 138,523.50/x
3. Step 3: Cross multiply
   63,723.38x = 138,523.50 × 138,523.50
4. Step 4: Simplify right side
   63,723.38x = 19,188,760,052.25
5. Step 5: Solve for x
   x = 19,188,760,052.25/63,723.38
6. Step 6: Final answer
   x = 301,125.92