Finding the Third Proportional to 95,786 and 205,334.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,786 : 205,334.50 = 205,334.50 : x
2. Step 2: Convert to fraction form
   95,786/205,334.50 = 205,334.50/x
3. Step 3: Cross multiply
   95,786x = 205,334.50 × 205,334.50
4. Step 4: Simplify right side
   95,786x = 42,162,256,890.25
5. Step 5: Solve for x
   x = 42,162,256,890.25/95,786
6. Step 6: Final answer
   x = 440,171.39