Finding the Third Proportional to 54,414 and 113,748

Step by Step Solution

1. Step 1: Write the proportion equation
   54,414 : 113,748 = 113,748 : x
2. Step 2: Convert to fraction form
   54,414/113,748 = 113,748/x
3. Step 3: Cross multiply
   54,414x = 113,748 × 113,748
4. Step 4: Simplify right side
   54,414x = 12,938,607,504
5. Step 5: Solve for x
   x = 12,938,607,504/54,414
6. Step 6: Final answer
   x = 237,780.86