Finding the Third Proportional to 95,085 and 209,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,085 : 209,822.50 = 209,822.50 : x
2. Step 2: Convert to fraction form
   95,085/209,822.50 = 209,822.50/x
3. Step 3: Cross multiply
   95,085x = 209,822.50 × 209,822.50
4. Step 4: Simplify right side
   95,085x = 44,025,481,506.25
5. Step 5: Solve for x
   x = 44,025,481,506.25/95,085
6. Step 6: Final answer
   x = 463,011.85