Finding the Third Proportional to 205,742 and 309,099

Step by Step Solution

1. Step 1: Write the proportion equation
   205,742 : 309,099 = 309,099 : x
2. Step 2: Convert to fraction form
   205,742/309,099 = 309,099/x
3. Step 3: Cross multiply
   205,742x = 309,099 × 309,099
4. Step 4: Simplify right side
   205,742x = 95,542,191,801
5. Step 5: Solve for x
   x = 95,542,191,801/205,742
6. Step 6: Final answer
   x = 464,378.65