Finding the Third Proportional to 122,892.19 and 185,464.69

Step by Step Solution

1. Step 1: Write the proportion equation
   122,892.19 : 185,464.69 = 185,464.69 : x
2. Step 2: Convert to fraction form
   122,892.19/185,464.69 = 185,464.69/x
3. Step 3: Cross multiply
   122,892.19x = 185,464.69 × 185,464.69
4. Step 4: Simplify right side
   122,892.19x = 34,397,150,309.47
5. Step 5: Solve for x
   x = 34,397,150,309.47/122,892.19
6. Step 6: Final answer
   x = 279,896.97