Finding the Third Proportional to 205,768 and 309,200

Step by Step Solution

1. Step 1: Write the proportion equation
   205,768 : 309,200 = 309,200 : x
2. Step 2: Convert to fraction form
   205,768/309,200 = 309,200/x
3. Step 3: Cross multiply
   205,768x = 309,200 × 309,200
4. Step 4: Simplify right side
   205,768x = 95,604,640,000
5. Step 5: Solve for x
   x = 95,604,640,000/205,768
6. Step 6: Final answer
   x = 464,623.46