Finding the Third Proportional to 205,866 and 309,294

Step by Step Solution

1. Step 1: Write the proportion equation
   205,866 : 309,294 = 309,294 : x
2. Step 2: Convert to fraction form
   205,866/309,294 = 309,294/x
3. Step 3: Cross multiply
   205,866x = 309,294 × 309,294
4. Step 4: Simplify right side
   205,866x = 95,662,778,436
5. Step 5: Solve for x
   x = 95,662,778,436/205,866
6. Step 6: Final answer
   x = 464,684.69