Finding the Third Proportional to 85,962 and 182,996

Step by Step Solution

1. Step 1: Write the proportion equation
   85,962 : 182,996 = 182,996 : x
2. Step 2: Convert to fraction form
   85,962/182,996 = 182,996/x
3. Step 3: Cross multiply
   85,962x = 182,996 × 182,996
4. Step 4: Simplify right side
   85,962x = 33,487,536,016
5. Step 5: Solve for x
   x = 33,487,536,016/85,962
6. Step 6: Final answer
   x = 389,562.09