Finding the Third Proportional to 205,596 and 235,120.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,596 : 235,120.50 = 235,120.50 : x
2. Step 2: Convert to fraction form
   205,596/235,120.50 = 235,120.50/x
3. Step 3: Cross multiply
   205,596x = 235,120.50 × 235,120.50
4. Step 4: Simplify right side
   205,596x = 55,281,649,520.25
5. Step 5: Solve for x
   x = 55,281,649,520.25/205,596
6. Step 6: Final answer
   x = 268,884.85