Finding the Third Proportional to 200,404 and 309,426

Step by Step Solution

1. Step 1: Write the proportion equation
   200,404 : 309,426 = 309,426 : x
2. Step 2: Convert to fraction form
   200,404/309,426 = 309,426/x
3. Step 3: Cross multiply
   200,404x = 309,426 × 309,426
4. Step 4: Simplify right side
   200,404x = 95,744,449,476
5. Step 5: Solve for x
   x = 95,744,449,476/200,404
6. Step 6: Final answer
   x = 477,757.18