Finding the Third Proportional to 54,826 and 117,140

Step by Step Solution

1. Step 1: Write the proportion equation
   54,826 : 117,140 = 117,140 : x
2. Step 2: Convert to fraction form
   54,826/117,140 = 117,140/x
3. Step 3: Cross multiply
   54,826x = 117,140 × 117,140
4. Step 4: Simplify right side
   54,826x = 13,721,779,600
5. Step 5: Solve for x
   x = 13,721,779,600/54,826
6. Step 6: Final answer
   x = 250,278.69