Finding the Third Proportional to 54,384 and 120,414

Step by Step Solution

1. Step 1: Write the proportion equation
   54,384 : 120,414 = 120,414 : x
2. Step 2: Convert to fraction form
   54,384/120,414 = 120,414/x
3. Step 3: Cross multiply
   54,384x = 120,414 × 120,414
4. Step 4: Simplify right side
   54,384x = 14,499,531,396
5. Step 5: Solve for x
   x = 14,499,531,396/54,384
6. Step 6: Final answer
   x = 266,613.92