Finding the Third Proportional to 127,978.50 and 275,274.75

Step by Step Solution

1. Step 1: Write the proportion equation
   127,978.50 : 275,274.75 = 275,274.75 : x
2. Step 2: Convert to fraction form
   127,978.50/275,274.75 = 275,274.75/x
3. Step 3: Cross multiply
   127,978.50x = 275,274.75 × 275,274.75
4. Step 4: Simplify right side
   127,978.50x = 75,776,187,987.56
5. Step 5: Solve for x
   x = 75,776,187,987.56/127,978.50
6. Step 6: Final answer
   x = 592,100.92