Finding the Third Proportional to 122,256 and 185,881.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,256 : 185,881.50 = 185,881.50 : x
2. Step 2: Convert to fraction form
   122,256/185,881.50 = 185,881.50/x
3. Step 3: Cross multiply
   122,256x = 185,881.50 × 185,881.50
4. Step 4: Simplify right side
   122,256x = 34,551,932,042.25
5. Step 5: Solve for x
   x = 34,551,932,042.25/122,256
6. Step 6: Final answer
   x = 282,619.52