Finding the Third Proportional to 105,858 and 220,428

Step by Step Solution

1. Step 1: Write the proportion equation
   105,858 : 220,428 = 220,428 : x
2. Step 2: Convert to fraction form
   105,858/220,428 = 220,428/x
3. Step 3: Cross multiply
   105,858x = 220,428 × 220,428
4. Step 4: Simplify right side
   105,858x = 48,588,503,184
5. Step 5: Solve for x
   x = 48,588,503,184/105,858
6. Step 6: Final answer
   x = 458,996.99