Finding the Third Proportional to 50,377 and 105,591

Step by Step Solution

1. Step 1: Write the proportion equation
   50,377 : 105,591 = 105,591 : x
2. Step 2: Convert to fraction form
   50,377/105,591 = 105,591/x
3. Step 3: Cross multiply
   50,377x = 105,591 × 105,591
4. Step 4: Simplify right side
   50,377x = 11,149,459,281
5. Step 5: Solve for x
   x = 11,149,459,281/50,377
6. Step 6: Final answer
   x = 221,320.43