Finding the Third Proportional to 122,850 and 185,140.69

Step by Step Solution

1. Step 1: Write the proportion equation
   122,850 : 185,140.69 = 185,140.69 : x
2. Step 2: Convert to fraction form
   122,850/185,140.69 = 185,140.69/x
3. Step 3: Cross multiply
   122,850x = 185,140.69 × 185,140.69
4. Step 4: Simplify right side
   122,850x = 34,277,074,167.97
5. Step 5: Solve for x
   x = 34,277,074,167.97/122,850
6. Step 6: Final answer
   x = 279,015.66