Finding the Third Proportional to 95,199.75 and 206,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,199.75 : 206,788.50 = 206,788.50 : x
2. Step 2: Convert to fraction form
   95,199.75/206,788.50 = 206,788.50/x
3. Step 3: Cross multiply
   95,199.75x = 206,788.50 × 206,788.50
4. Step 4: Simplify right side
   95,199.75x = 42,761,483,732.25
5. Step 5: Solve for x
   x = 42,761,483,732.25/95,199.75
6. Step 6: Final answer
   x = 449,176.43