Finding the Third Proportional to 105,632 and 229,480

Step by Step Solution

1. Step 1: Write the proportion equation
   105,632 : 229,480 = 229,480 : x
2. Step 2: Convert to fraction form
   105,632/229,480 = 229,480/x
3. Step 3: Cross multiply
   105,632x = 229,480 × 229,480
4. Step 4: Simplify right side
   105,632x = 52,661,070,400
5. Step 5: Solve for x
   x = 52,661,070,400/105,632
6. Step 6: Final answer
   x = 498,533.31