Finding the Third Proportional to 95,557.50 and 205,984.50

Step by Step Solution

1. Step 1: Write the proportion equation
   95,557.50 : 205,984.50 = 205,984.50 : x
2. Step 2: Convert to fraction form
   95,557.50/205,984.50 = 205,984.50/x
3. Step 3: Cross multiply
   95,557.50x = 205,984.50 × 205,984.50
4. Step 4: Simplify right side
   95,557.50x = 42,429,614,240.25
5. Step 5: Solve for x
   x = 42,429,614,240.25/95,557.50
6. Step 6: Final answer
   x = 444,021.81