Finding the Third Proportional to 95,715 and 209,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,715 : 209,569.50 = 209,569.50 : x
2. Step 2: Convert to fraction form
   95,715/209,569.50 = 209,569.50/x
3. Step 3: Cross multiply
   95,715x = 209,569.50 × 209,569.50
4. Step 4: Simplify right side
   95,715x = 43,919,375,330.25
5. Step 5: Solve for x
   x = 43,919,375,330.25/95,715
6. Step 6: Final answer
   x = 458,855.72