Finding the Third Proportional to 55,300 and 83,349

Step by Step Solution

1. Step 1: Write the proportion equation
   55,300 : 83,349 = 83,349 : x
2. Step 2: Convert to fraction form
   55,300/83,349 = 83,349/x
3. Step 3: Cross multiply
   55,300x = 83,349 × 83,349
4. Step 4: Simplify right side
   55,300x = 6,947,055,801
5. Step 5: Solve for x
   x = 6,947,055,801/55,300
6. Step 6: Final answer
   x = 125,624.88