Finding the Third Proportional to 41,606 and 85,156

Step by Step Solution

1. Step 1: Write the proportion equation
   41,606 : 85,156 = 85,156 : x
2. Step 2: Convert to fraction form
   41,606/85,156 = 85,156/x
3. Step 3: Cross multiply
   41,606x = 85,156 × 85,156
4. Step 4: Simplify right side
   41,606x = 7,251,544,336
5. Step 5: Solve for x
   x = 7,251,544,336/41,606
6. Step 6: Final answer
   x = 174,290.83