Finding the Third Proportional to 54,413 and 113,746

Step by Step Solution

1. Step 1: Write the proportion equation
   54,413 : 113,746 = 113,746 : x
2. Step 2: Convert to fraction form
   54,413/113,746 = 113,746/x
3. Step 3: Cross multiply
   54,413x = 113,746 × 113,746
4. Step 4: Simplify right side
   54,413x = 12,938,152,516
5. Step 5: Solve for x
   x = 12,938,152,516/54,413
6. Step 6: Final answer
   x = 237,776.86