Finding the Third Proportional to 63,538.50 and 138,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,538.50 : 138,142.50 = 138,142.50 : x
2. Step 2: Convert to fraction form
   63,538.50/138,142.50 = 138,142.50/x
3. Step 3: Cross multiply
   63,538.50x = 138,142.50 × 138,142.50
4. Step 4: Simplify right side
   63,538.50x = 19,083,350,306.25
5. Step 5: Solve for x
   x = 19,083,350,306.25/63,538.50
6. Step 6: Final answer
   x = 300,343.10