Finding the Third Proportional to 122,856 and 185,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,856 : 185,149.50 = 185,149.50 : x
2. Step 2: Convert to fraction form
   122,856/185,149.50 = 185,149.50/x
3. Step 3: Cross multiply
   122,856x = 185,149.50 × 185,149.50
4. Step 4: Simplify right side
   122,856x = 34,280,337,350.25
5. Step 5: Solve for x
   x = 34,280,337,350.25/122,856
6. Step 6: Final answer
   x = 279,028.60