Finding the Third Proportional to 105,714 and 220,160

Step by Step Solution

1. Step 1: Write the proportion equation
   105,714 : 220,160 = 220,160 : x
2. Step 2: Convert to fraction form
   105,714/220,160 = 220,160/x
3. Step 3: Cross multiply
   105,714x = 220,160 × 220,160
4. Step 4: Simplify right side
   105,714x = 48,470,425,600
5. Step 5: Solve for x
   x = 48,470,425,600/105,714
6. Step 6: Final answer
   x = 458,505.27