Finding the Third Proportional to 102,196.69 and 221,889.38

Step by Step Solution

1. Step 1: Write the proportion equation
   102,196.69 : 221,889.38 = 221,889.38 : x
2. Step 2: Convert to fraction form
   102,196.69/221,889.38 = 221,889.38/x
3. Step 3: Cross multiply
   102,196.69x = 221,889.38 × 221,889.38
4. Step 4: Simplify right side
   102,196.69x = 49,234,894,737.89
5. Step 5: Solve for x
   x = 49,234,894,737.89/102,196.69
6. Step 6: Final answer
   x = 481,766.05