Finding the Third Proportional to 127,585.50 and 298,002.75

Step by Step Solution

1. Step 1: Write the proportion equation
   127,585.50 : 298,002.75 = 298,002.75 : x
2. Step 2: Convert to fraction form
   127,585.50/298,002.75 = 298,002.75/x
3. Step 3: Cross multiply
   127,585.50x = 298,002.75 × 298,002.75
4. Step 4: Simplify right side
   127,585.50x = 88,805,639,007.56
5. Step 5: Solve for x
   x = 88,805,639,007.56/127,585.50
6. Step 6: Final answer
   x = 696,048.05