Finding the Third Proportional to 95,992.25 and 209,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,992.25 : 209,453.50 = 209,453.50 : x
2. Step 2: Convert to fraction form
   95,992.25/209,453.50 = 209,453.50/x
3. Step 3: Cross multiply
   95,992.25x = 209,453.50 × 209,453.50
4. Step 4: Simplify right side
   95,992.25x = 43,870,768,662.25
5. Step 5: Solve for x
   x = 43,870,768,662.25/95,992.25
6. Step 6: Final answer
   x = 457,024.07