Finding the Third Proportional to 85,019 and 185,581

Step by Step Solution

1. Step 1: Write the proportion equation
   85,019 : 185,581 = 185,581 : x
2. Step 2: Convert to fraction form
   85,019/185,581 = 185,581/x
3. Step 3: Cross multiply
   85,019x = 185,581 × 185,581
4. Step 4: Simplify right side
   85,019x = 34,440,307,561
5. Step 5: Solve for x
   x = 34,440,307,561/85,019
6. Step 6: Final answer
   x = 405,089.54