Finding the Third Proportional to 54,577 and 114,658

Step by Step Solution

1. Step 1: Write the proportion equation
   54,577 : 114,658 = 114,658 : x
2. Step 2: Convert to fraction form
   54,577/114,658 = 114,658/x
3. Step 3: Cross multiply
   54,577x = 114,658 × 114,658
4. Step 4: Simplify right side
   54,577x = 13,146,456,964
5. Step 5: Solve for x
   x = 13,146,456,964/54,577
6. Step 6: Final answer
   x = 240,879.07