Finding the Third Proportional to 95,742 and 205,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,742 : 205,699.50 = 205,699.50 : x
2. Step 2: Convert to fraction form
   95,742/205,699.50 = 205,699.50/x
3. Step 3: Cross multiply
   95,742x = 205,699.50 × 205,699.50
4. Step 4: Simplify right side
   95,742x = 42,312,284,300.25
5. Step 5: Solve for x
   x = 42,312,284,300.25/95,742
6. Step 6: Final answer
   x = 441,940.68