Finding the Third Proportional to 127,577.50 and 274,655.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,577.50 : 274,655.50 = 274,655.50 : x
2. Step 2: Convert to fraction form
   127,577.50/274,655.50 = 274,655.50/x
3. Step 3: Cross multiply
   127,577.50x = 274,655.50 × 274,655.50
4. Step 4: Simplify right side
   127,577.50x = 75,435,643,680.25
5. Step 5: Solve for x
   x = 75,435,643,680.25/127,577.50
6. Step 6: Final answer
   x = 591,292.69