Finding the Third Proportional to 95,477.50 and 206,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,477.50 : 206,459.50 = 206,459.50 : x
2. Step 2: Convert to fraction form
   95,477.50/206,459.50 = 206,459.50/x
3. Step 3: Cross multiply
   95,477.50x = 206,459.50 × 206,459.50
4. Step 4: Simplify right side
   95,477.50x = 42,625,525,140.25
5. Step 5: Solve for x
   x = 42,625,525,140.25/95,477.50
6. Step 6: Final answer
   x = 446,445.76