Finding the Third Proportional to 205,770.38 and 309,204

Step by Step Solution

1. Step 1: Write the proportion equation
   205,770.38 : 309,204 = 309,204 : x
2. Step 2: Convert to fraction form
   205,770.38/309,204 = 309,204/x
3. Step 3: Cross multiply
   205,770.38x = 309,204 × 309,204
4. Step 4: Simplify right side
   205,770.38x = 95,607,113,616
5. Step 5: Solve for x
   x = 95,607,113,616/205,770.38
6. Step 6: Final answer
   x = 464,630.12