Finding the Third Proportional to 53,918 and 113,422

Step by Step Solution

1. Step 1: Write the proportion equation
   53,918 : 113,422 = 113,422 : x
2. Step 2: Convert to fraction form
   53,918/113,422 = 113,422/x
3. Step 3: Cross multiply
   53,918x = 113,422 × 113,422
4. Step 4: Simplify right side
   53,918x = 12,864,550,084
5. Step 5: Solve for x
   x = 12,864,550,084/53,918
6. Step 6: Final answer
   x = 238,594.72