Finding the Third Proportional to 85,842 and 185,976

Step by Step Solution

1. Step 1: Write the proportion equation
   85,842 : 185,976 = 185,976 : x
2. Step 2: Convert to fraction form
   85,842/185,976 = 185,976/x
3. Step 3: Cross multiply
   85,842x = 185,976 × 185,976
4. Step 4: Simplify right side
   85,842x = 34,587,072,576
5. Step 5: Solve for x
   x = 34,587,072,576/85,842
6. Step 6: Final answer
   x = 402,915.50