Finding the Third Proportional to 80,590.50 and 115,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,590.50 : 115,411.50 = 115,411.50 : x
2. Step 2: Convert to fraction form
   80,590.50/115,411.50 = 115,411.50/x
3. Step 3: Cross multiply
   80,590.50x = 115,411.50 × 115,411.50
4. Step 4: Simplify right side
   80,590.50x = 13,319,814,332.25
5. Step 5: Solve for x
   x = 13,319,814,332.25/80,590.50
6. Step 6: Final answer
   x = 165,277.72