Finding the Third Proportional to 115,401.75 and 260,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,401.75 : 260,434.50 = 260,434.50 : x
2. Step 2: Convert to fraction form
   115,401.75/260,434.50 = 260,434.50/x
3. Step 3: Cross multiply
   115,401.75x = 260,434.50 × 260,434.50
4. Step 4: Simplify right side
   115,401.75x = 67,826,128,790.25
5. Step 5: Solve for x
   x = 67,826,128,790.25/115,401.75
6. Step 6: Final answer
   x = 587,739.17