Finding the Third Proportional to 65,710.50 and 138,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,710.50 : 138,013.50 = 138,013.50 : x
2. Step 2: Convert to fraction form
   65,710.50/138,013.50 = 138,013.50/x
3. Step 3: Cross multiply
   65,710.50x = 138,013.50 × 138,013.50
4. Step 4: Simplify right side
   65,710.50x = 19,047,726,182.25
5. Step 5: Solve for x
   x = 19,047,726,182.25/65,710.50
6. Step 6: Final answer
   x = 289,873.40