Finding the Third Proportional to 105,732 and 221,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,732 : 221,842.50 = 221,842.50 : x
2. Step 2: Convert to fraction form
   105,732/221,842.50 = 221,842.50/x
3. Step 3: Cross multiply
   105,732x = 221,842.50 × 221,842.50
4. Step 4: Simplify right side
   105,732x = 49,214,094,806.25
5. Step 5: Solve for x
   x = 49,214,094,806.25/105,732
6. Step 6: Final answer
   x = 465,460.74