Finding the Third Proportional to 205,317 and 274,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,317 : 274,639.50 = 274,639.50 : x
2. Step 2: Convert to fraction form
   205,317/274,639.50 = 274,639.50/x
3. Step 3: Cross multiply
   205,317x = 274,639.50 × 274,639.50
4. Step 4: Simplify right side
   205,317x = 75,426,854,960.25
5. Step 5: Solve for x
   x = 75,426,854,960.25/205,317
6. Step 6: Final answer
   x = 367,367.80