Finding the Third Proportional to 205,257 and 300,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,257 : 300,784.50 = 300,784.50 : x
2. Step 2: Convert to fraction form
   205,257/300,784.50 = 300,784.50/x
3. Step 3: Cross multiply
   205,257x = 300,784.50 × 300,784.50
4. Step 4: Simplify right side
   205,257x = 90,471,315,440.25
5. Step 5: Solve for x
   x = 90,471,315,440.25/205,257
6. Step 6: Final answer
   x = 440,770.91