Finding the Third Proportional to 59,978.25 and 138,849.75

Step by Step Solution

1. Step 1: Write the proportion equation
   59,978.25 : 138,849.75 = 138,849.75 : x
2. Step 2: Convert to fraction form
   59,978.25/138,849.75 = 138,849.75/x
3. Step 3: Cross multiply
   59,978.25x = 138,849.75 × 138,849.75
4. Step 4: Simplify right side
   59,978.25x = 19,279,253,075.06
5. Step 5: Solve for x
   x = 19,279,253,075.06/59,978.25
6. Step 6: Final answer
   x = 321,437.41