Finding the Third Proportional to 41,743 and 85,406

Step by Step Solution

1. Step 1: Write the proportion equation
   41,743 : 85,406 = 85,406 : x
2. Step 2: Convert to fraction form
   41,743/85,406 = 85,406/x
3. Step 3: Cross multiply
   41,743x = 85,406 × 85,406
4. Step 4: Simplify right side
   41,743x = 7,294,184,836
5. Step 5: Solve for x
   x = 7,294,184,836/41,743
6. Step 6: Final answer
   x = 174,740.31