Finding the Third Proportional to 85,674 and 185,648

Step by Step Solution

1. Step 1: Write the proportion equation
   85,674 : 185,648 = 185,648 : x
2. Step 2: Convert to fraction form
   85,674/185,648 = 185,648/x
3. Step 3: Cross multiply
   85,674x = 185,648 × 185,648
4. Step 4: Simplify right side
   85,674x = 34,465,179,904
5. Step 5: Solve for x
   x = 34,465,179,904/85,674
6. Step 6: Final answer
   x = 402,282.84