Finding the Third Proportional to 95,506.59 and 205,684.31

Step by Step Solution

1. Step 1: Write the proportion equation
   95,506.59 : 205,684.31 = 205,684.31 : x
2. Step 2: Convert to fraction form
   95,506.59/205,684.31 = 205,684.31/x
3. Step 3: Cross multiply
   95,506.59x = 205,684.31 × 205,684.31
4. Step 4: Simplify right side
   95,506.59x = 42,306,036,408.60
5. Step 5: Solve for x
   x = 42,306,036,408.60/95,506.59
6. Step 6: Final answer
   x = 442,964.56