Finding the Third Proportional to 53,928 and 113,440

Step by Step Solution

1. Step 1: Write the proportion equation
   53,928 : 113,440 = 113,440 : x
2. Step 2: Convert to fraction form
   53,928/113,440 = 113,440/x
3. Step 3: Cross multiply
   53,928x = 113,440 × 113,440
4. Step 4: Simplify right side
   53,928x = 12,868,633,600
5. Step 5: Solve for x
   x = 12,868,633,600/53,928
6. Step 6: Final answer
   x = 238,626.20