Finding the Third Proportional to 105,646 and 220,076

Step by Step Solution

1. Step 1: Write the proportion equation
   105,646 : 220,076 = 220,076 : x
2. Step 2: Convert to fraction form
   105,646/220,076 = 220,076/x
3. Step 3: Cross multiply
   105,646x = 220,076 × 220,076
4. Step 4: Simplify right side
   105,646x = 48,433,445,776
5. Step 5: Solve for x
   x = 48,433,445,776/105,646
6. Step 6: Final answer
   x = 458,450.35