Finding the Third Proportional to 85,826 and 185,806

Step by Step Solution

1. Step 1: Write the proportion equation
   85,826 : 185,806 = 185,806 : x
2. Step 2: Convert to fraction form
   85,826/185,806 = 185,806/x
3. Step 3: Cross multiply
   85,826x = 185,806 × 185,806
4. Step 4: Simplify right side
   85,826x = 34,523,869,636
5. Step 5: Solve for x
   x = 34,523,869,636/85,826
6. Step 6: Final answer
   x = 402,254.21