Finding the Third Proportional to 105,312 and 225,632

Step by Step Solution

1. Step 1: Write the proportion equation
   105,312 : 225,632 = 225,632 : x
2. Step 2: Convert to fraction form
   105,312/225,632 = 225,632/x
3. Step 3: Cross multiply
   105,312x = 225,632 × 225,632
4. Step 4: Simplify right side
   105,312x = 50,909,799,424
5. Step 5: Solve for x
   x = 50,909,799,424/105,312
6. Step 6: Final answer
   x = 483,418.79