Finding the Third Proportional to 105,884 and 220,478

Step by Step Solution

1. Step 1: Write the proportion equation
   105,884 : 220,478 = 220,478 : x
2. Step 2: Convert to fraction form
   105,884/220,478 = 220,478/x
3. Step 3: Cross multiply
   105,884x = 220,478 × 220,478
4. Step 4: Simplify right side
   105,884x = 48,610,548,484
5. Step 5: Solve for x
   x = 48,610,548,484/105,884
6. Step 6: Final answer
   x = 459,092.48