Finding the Third Proportional to 54,394 and 83,200

Step by Step Solution

1. Step 1: Write the proportion equation
   54,394 : 83,200 = 83,200 : x
2. Step 2: Convert to fraction form
   54,394/83,200 = 83,200/x
3. Step 3: Cross multiply
   54,394x = 83,200 × 83,200
4. Step 4: Simplify right side
   54,394x = 6,922,240,000
5. Step 5: Solve for x
   x = 6,922,240,000/54,394
6. Step 6: Final answer
   x = 127,261.09