Finding the Third Proportional to 54,924 and 82,380

Step by Step Solution

1. Step 1: Write the proportion equation
   54,924 : 82,380 = 82,380 : x
2. Step 2: Convert to fraction form
   54,924/82,380 = 82,380/x
3. Step 3: Cross multiply
   54,924x = 82,380 × 82,380
4. Step 4: Simplify right side
   54,924x = 6,786,464,400
5. Step 5: Solve for x
   x = 6,786,464,400/54,924
6. Step 6: Final answer
   x = 123,561.00