Finding the Third Proportional to 53,900 and 113,388

Step by Step Solution

1. Step 1: Write the proportion equation
   53,900 : 113,388 = 113,388 : x
2. Step 2: Convert to fraction form
   53,900/113,388 = 113,388/x
3. Step 3: Cross multiply
   53,900x = 113,388 × 113,388
4. Step 4: Simplify right side
   53,900x = 12,856,838,544
5. Step 5: Solve for x
   x = 12,856,838,544/53,900
6. Step 6: Final answer
   x = 238,531.33