Finding the Third Proportional to 105,468 and 226,516

Step by Step Solution

1. Step 1: Write the proportion equation
   105,468 : 226,516 = 226,516 : x
2. Step 2: Convert to fraction form
   105,468/226,516 = 226,516/x
3. Step 3: Cross multiply
   105,468x = 226,516 × 226,516
4. Step 4: Simplify right side
   105,468x = 51,309,498,256
5. Step 5: Solve for x
   x = 51,309,498,256/105,468
6. Step 6: Final answer
   x = 486,493.52