Finding the Third Proportional to 102,321 and 221,456.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,321 : 221,456.25 = 221,456.25 : x
2. Step 2: Convert to fraction form
   102,321/221,456.25 = 221,456.25/x
3. Step 3: Cross multiply
   102,321x = 221,456.25 × 221,456.25
4. Step 4: Simplify right side
   102,321x = 49,042,870,664.06
5. Step 5: Solve for x
   x = 49,042,870,664.06/102,321
6. Step 6: Final answer
   x = 479,304.06