Finding the Third Proportional to 127,581.75 and 274,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,581.75 : 274,117.50 = 274,117.50 : x
2. Step 2: Convert to fraction form
   127,581.75/274,117.50 = 274,117.50/x
3. Step 3: Cross multiply
   127,581.75x = 274,117.50 × 274,117.50
4. Step 4: Simplify right side
   127,581.75x = 75,140,403,806.25
5. Step 5: Solve for x
   x = 75,140,403,806.25/127,581.75
6. Step 6: Final answer
   x = 588,958.87