Finding the Third Proportional to 41,310 and 85,806

Step by Step Solution

1. Step 1: Write the proportion equation
   41,310 : 85,806 = 85,806 : x
2. Step 2: Convert to fraction form
   41,310/85,806 = 85,806/x
3. Step 3: Cross multiply
   41,310x = 85,806 × 85,806
4. Step 4: Simplify right side
   41,310x = 7,362,669,636
5. Step 5: Solve for x
   x = 7,362,669,636/41,310
6. Step 6: Final answer
   x = 178,229.72