Finding the Third Proportional to 95,998.50 and 209,466

Step by Step Solution

1. Step 1: Write the proportion equation
   95,998.50 : 209,466 = 209,466 : x
2. Step 2: Convert to fraction form
   95,998.50/209,466 = 209,466/x
3. Step 3: Cross multiply
   95,998.50x = 209,466 × 209,466
4. Step 4: Simplify right side
   95,998.50x = 43,876,005,156
5. Step 5: Solve for x
   x = 43,876,005,156/95,998.50
6. Step 6: Final answer
   x = 457,048.86