Finding the Third Proportional to 102,576 and 221,551.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,576 : 221,551.50 = 221,551.50 : x
2. Step 2: Convert to fraction form
   102,576/221,551.50 = 221,551.50/x
3. Step 3: Cross multiply
   102,576x = 221,551.50 × 221,551.50
4. Step 4: Simplify right side
   102,576x = 49,085,067,152.25
5. Step 5: Solve for x
   x = 49,085,067,152.25/102,576
6. Step 6: Final answer
   x = 478,523.90