Finding the Third Proportional to 83,992 and 181,538

Step by Step Solution

1. Step 1: Write the proportion equation
   83,992 : 181,538 = 181,538 : x
2. Step 2: Convert to fraction form
   83,992/181,538 = 181,538/x
3. Step 3: Cross multiply
   83,992x = 181,538 × 181,538
4. Step 4: Simplify right side
   83,992x = 32,956,045,444
5. Step 5: Solve for x
   x = 32,956,045,444/83,992
6. Step 6: Final answer
   x = 392,371.24