Finding the Third Proportional to 115,789.50 and 173,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,789.50 : 173,380.50 = 173,380.50 : x
2. Step 2: Convert to fraction form
   115,789.50/173,380.50 = 173,380.50/x
3. Step 3: Cross multiply
   115,789.50x = 173,380.50 × 173,380.50
4. Step 4: Simplify right side
   115,789.50x = 30,060,797,780.25
5. Step 5: Solve for x
   x = 30,060,797,780.25/115,789.50
6. Step 6: Final answer
   x = 259,615.92