Finding the Third Proportional to 127,581.75 and 277,303.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,581.75 : 277,303.50 = 277,303.50 : x
2. Step 2: Convert to fraction form
   127,581.75/277,303.50 = 277,303.50/x
3. Step 3: Cross multiply
   127,581.75x = 277,303.50 × 277,303.50
4. Step 4: Simplify right side
   127,581.75x = 76,897,231,112.25
5. Step 5: Solve for x
   x = 76,897,231,112.25/127,581.75
6. Step 6: Final answer
   x = 602,729.08