Finding the Third Proportional to 49,589 and 103,294

Step by Step Solution

1. Step 1: Write the proportion equation
   49,589 : 103,294 = 103,294 : x
2. Step 2: Convert to fraction form
   49,589/103,294 = 103,294/x
3. Step 3: Cross multiply
   49,589x = 103,294 × 103,294
4. Step 4: Simplify right side
   49,589x = 10,669,650,436
5. Step 5: Solve for x
   x = 10,669,650,436/49,589
6. Step 6: Final answer
   x = 215,161.64