Finding the Third Proportional to 55,300 and 83,413

Step by Step Solution

1. Step 1: Write the proportion equation
   55,300 : 83,413 = 83,413 : x
2. Step 2: Convert to fraction form
   55,300/83,413 = 83,413/x
3. Step 3: Cross multiply
   55,300x = 83,413 × 83,413
4. Step 4: Simplify right side
   55,300x = 6,957,728,569
5. Step 5: Solve for x
   x = 6,957,728,569/55,300
6. Step 6: Final answer
   x = 125,817.88