Finding the Third Proportional to 53,536 and 111,320

Step by Step Solution

1. Step 1: Write the proportion equation
   53,536 : 111,320 = 111,320 : x
2. Step 2: Convert to fraction form
   53,536/111,320 = 111,320/x
3. Step 3: Cross multiply
   53,536x = 111,320 × 111,320
4. Step 4: Simplify right side
   53,536x = 12,392,142,400
5. Step 5: Solve for x
   x = 12,392,142,400/53,536
6. Step 6: Final answer
   x = 231,473.07