Finding the Third Proportional to 105,210 and 226,460

Step by Step Solution

1. Step 1: Write the proportion equation
   105,210 : 226,460 = 226,460 : x
2. Step 2: Convert to fraction form
   105,210/226,460 = 226,460/x
3. Step 3: Cross multiply
   105,210x = 226,460 × 226,460
4. Step 4: Simplify right side
   105,210x = 51,284,131,600
5. Step 5: Solve for x
   x = 51,284,131,600/105,210
6. Step 6: Final answer
   x = 487,445.41