Finding the Third Proportional to 85,827 and 182,814

Step by Step Solution

1. Step 1: Write the proportion equation
   85,827 : 182,814 = 182,814 : x
2. Step 2: Convert to fraction form
   85,827/182,814 = 182,814/x
3. Step 3: Cross multiply
   85,827x = 182,814 × 182,814
4. Step 4: Simplify right side
   85,827x = 33,420,958,596
5. Step 5: Solve for x
   x = 33,420,958,596/85,827
6. Step 6: Final answer
   x = 389,399.12