Finding the Third Proportional to 85,960 and 182,992

Step by Step Solution

1. Step 1: Write the proportion equation
   85,960 : 182,992 = 182,992 : x
2. Step 2: Convert to fraction form
   85,960/182,992 = 182,992/x
3. Step 3: Cross multiply
   85,960x = 182,992 × 182,992
4. Step 4: Simplify right side
   85,960x = 33,486,072,064
5. Step 5: Solve for x
   x = 33,486,072,064/85,960
6. Step 6: Final answer
   x = 389,554.12