Finding the Third Proportional to 95,196.50 and 209,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,196.50 : 209,077.50 = 209,077.50 : x
2. Step 2: Convert to fraction form
   95,196.50/209,077.50 = 209,077.50/x
3. Step 3: Cross multiply
   95,196.50x = 209,077.50 × 209,077.50
4. Step 4: Simplify right side
   95,196.50x = 43,713,401,006.25
5. Step 5: Solve for x
   x = 43,713,401,006.25/95,196.50
6. Step 6: Final answer
   x = 459,191.26