Finding the Third Proportional to 89,640 and 130,256

Step by Step Solution

1. Step 1: Write the proportion equation
   89,640 : 130,256 = 130,256 : x
2. Step 2: Convert to fraction form
   89,640/130,256 = 130,256/x
3. Step 3: Cross multiply
   89,640x = 130,256 × 130,256
4. Step 4: Simplify right side
   89,640x = 16,966,625,536
5. Step 5: Solve for x
   x = 16,966,625,536/89,640
6. Step 6: Final answer
   x = 189,275.16