Finding the Third Proportional to 204,084 and 316,784.25

Step by Step Solution

1. Step 1: Write the proportion equation
   204,084 : 316,784.25 = 316,784.25 : x
2. Step 2: Convert to fraction form
   204,084/316,784.25 = 316,784.25/x
3. Step 3: Cross multiply
   204,084x = 316,784.25 × 316,784.25
4. Step 4: Simplify right side
   204,084x = 100,352,261,048.06
5. Step 5: Solve for x
   x = 100,352,261,048.06/204,084
6. Step 6: Final answer
   x = 491,720.38