Finding the Third Proportional to 102,682 and 206,890.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,682 : 206,890.50 = 206,890.50 : x
2. Step 2: Convert to fraction form
   102,682/206,890.50 = 206,890.50/x
3. Step 3: Cross multiply
   102,682x = 206,890.50 × 206,890.50
4. Step 4: Simplify right side
   102,682x = 42,803,678,990.25
5. Step 5: Solve for x
   x = 42,803,678,990.25/102,682
6. Step 6: Final answer
   x = 416,856.69