Finding the Third Proportional to 122,594.50 and 258,500

Step by Step Solution

1. Step 1: Write the proportion equation
   122,594.50 : 258,500 = 258,500 : x
2. Step 2: Convert to fraction form
   122,594.50/258,500 = 258,500/x
3. Step 3: Cross multiply
   122,594.50x = 258,500 × 258,500
4. Step 4: Simplify right side
   122,594.50x = 66,822,250,000
5. Step 5: Solve for x
   x = 66,822,250,000/122,594.50
6. Step 6: Final answer
   x = 545,067.27