Finding the Third Proportional to 54,464 and 114,424

Step by Step Solution

1. Step 1: Write the proportion equation
   54,464 : 114,424 = 114,424 : x
2. Step 2: Convert to fraction form
   54,464/114,424 = 114,424/x
3. Step 3: Cross multiply
   54,464x = 114,424 × 114,424
4. Step 4: Simplify right side
   54,464x = 13,092,851,776
5. Step 5: Solve for x
   x = 13,092,851,776/54,464
6. Step 6: Final answer
   x = 240,394.61