Finding the Third Proportional to 105,664 and 220,184

Step by Step Solution

1. Step 1: Write the proportion equation
   105,664 : 220,184 = 220,184 : x
2. Step 2: Convert to fraction form
   105,664/220,184 = 220,184/x
3. Step 3: Cross multiply
   105,664x = 220,184 × 220,184
4. Step 4: Simplify right side
   105,664x = 48,480,993,856
5. Step 5: Solve for x
   x = 48,480,993,856/105,664
6. Step 6: Final answer
   x = 458,822.25