Finding the Third Proportional to 205,215 and 288,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,215 : 288,784.50 = 288,784.50 : x
2. Step 2: Convert to fraction form
   205,215/288,784.50 = 288,784.50/x
3. Step 3: Cross multiply
   205,215x = 288,784.50 × 288,784.50
4. Step 4: Simplify right side
   205,215x = 83,396,487,440.25
5. Step 5: Solve for x
   x = 83,396,487,440.25/205,215
6. Step 6: Final answer
   x = 406,385.92