Finding the Third Proportional to 85,020 and 185,582

Step by Step Solution

1. Step 1: Write the proportion equation
   85,020 : 185,582 = 185,582 : x
2. Step 2: Convert to fraction form
   85,020/185,582 = 185,582/x
3. Step 3: Cross multiply
   85,020x = 185,582 × 185,582
4. Step 4: Simplify right side
   85,020x = 34,440,678,724
5. Step 5: Solve for x
   x = 34,440,678,724/85,020
6. Step 6: Final answer
   x = 405,089.14