Finding the Third Proportional to 95,214 and 206,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,214 : 206,830.50 = 206,830.50 : x
2. Step 2: Convert to fraction form
   95,214/206,830.50 = 206,830.50/x
3. Step 3: Cross multiply
   95,214x = 206,830.50 × 206,830.50
4. Step 4: Simplify right side
   95,214x = 42,778,855,730.25
5. Step 5: Solve for x
   x = 42,778,855,730.25/95,214
6. Step 6: Final answer
   x = 449,291.66