Finding the Third Proportional to 89,282 and 121,256

Step by Step Solution

1. Step 1: Write the proportion equation
   89,282 : 121,256 = 121,256 : x
2. Step 2: Convert to fraction form
   89,282/121,256 = 121,256/x
3. Step 3: Cross multiply
   89,282x = 121,256 × 121,256
4. Step 4: Simplify right side
   89,282x = 14,703,017,536
5. Step 5: Solve for x
   x = 14,703,017,536/89,282
6. Step 6: Final answer
   x = 164,680.65