Finding the Third Proportional to 53,680 and 112,256

Step by Step Solution

1. Step 1: Write the proportion equation
   53,680 : 112,256 = 112,256 : x
2. Step 2: Convert to fraction form
   53,680/112,256 = 112,256/x
3. Step 3: Cross multiply
   53,680x = 112,256 × 112,256
4. Step 4: Simplify right side
   53,680x = 12,601,409,536
5. Step 5: Solve for x
   x = 12,601,409,536/53,680
6. Step 6: Final answer
   x = 234,750.55