Finding the Third Proportional to 85,046 and 185,632

Step by Step Solution

1. Step 1: Write the proportion equation
   85,046 : 185,632 = 185,632 : x
2. Step 2: Convert to fraction form
   85,046/185,632 = 185,632/x
3. Step 3: Cross multiply
   85,046x = 185,632 × 185,632
4. Step 4: Simplify right side
   85,046x = 34,459,239,424
5. Step 5: Solve for x
   x = 34,459,239,424/85,046
6. Step 6: Final answer
   x = 405,183.54