Finding the Third Proportional to 199,724 and 280,926

Step by Step Solution

1. Step 1: Write the proportion equation
   199,724 : 280,926 = 280,926 : x
2. Step 2: Convert to fraction form
   199,724/280,926 = 280,926/x
3. Step 3: Cross multiply
   199,724x = 280,926 × 280,926
4. Step 4: Simplify right side
   199,724x = 78,919,417,476
5. Step 5: Solve for x
   x = 78,919,417,476/199,724
6. Step 6: Final answer
   x = 395,142.38