Finding the Third Proportional to 105,732 and 220,209.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,732 : 220,209.75 = 220,209.75 : x
2. Step 2: Convert to fraction form
   105,732/220,209.75 = 220,209.75/x
3. Step 3: Cross multiply
   105,732x = 220,209.75 × 220,209.75
4. Step 4: Simplify right side
   105,732x = 48,492,333,995.06
5. Step 5: Solve for x
   x = 48,492,333,995.06/105,732
6. Step 6: Final answer
   x = 458,634.42