Finding the Third Proportional to 85,744 and 185,744

Step by Step Solution

1. Step 1: Write the proportion equation
   85,744 : 185,744 = 185,744 : x
2. Step 2: Convert to fraction form
   85,744/185,744 = 185,744/x
3. Step 3: Cross multiply
   85,744x = 185,744 × 185,744
4. Step 4: Simplify right side
   85,744x = 34,500,833,536
5. Step 5: Solve for x
   x = 34,500,833,536/85,744
6. Step 6: Final answer
   x = 402,370.24