Finding the Third Proportional to 205,518 and 307,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,518 : 307,441.50 = 307,441.50 : x
2. Step 2: Convert to fraction form
   205,518/307,441.50 = 307,441.50/x
3. Step 3: Cross multiply
   205,518x = 307,441.50 × 307,441.50
4. Step 4: Simplify right side
   205,518x = 94,520,275,922.25
5. Step 5: Solve for x
   x = 94,520,275,922.25/205,518
6. Step 6: Final answer
   x = 459,912.40