Finding the Third Proportional to 54,766 and 117,710

Step by Step Solution

1. Step 1: Write the proportion equation
   54,766 : 117,710 = 117,710 : x
2. Step 2: Convert to fraction form
   54,766/117,710 = 117,710/x
3. Step 3: Cross multiply
   54,766x = 117,710 × 117,710
4. Step 4: Simplify right side
   54,766x = 13,855,644,100
5. Step 5: Solve for x
   x = 13,855,644,100/54,766
6. Step 6: Final answer
   x = 252,997.19