Finding the Third Proportional to 85,044 and 185,628

Step by Step Solution

1. Step 1: Write the proportion equation
   85,044 : 185,628 = 185,628 : x
2. Step 2: Convert to fraction form
   85,044/185,628 = 185,628/x
3. Step 3: Cross multiply
   85,044x = 185,628 × 185,628
4. Step 4: Simplify right side
   85,044x = 34,457,754,384
5. Step 5: Solve for x
   x = 34,457,754,384/85,044
6. Step 6: Final answer
   x = 405,175.61