Finding the Third Proportional to 85,826 and 184,564

Step by Step Solution

1. Step 1: Write the proportion equation
   85,826 : 184,564 = 184,564 : x
2. Step 2: Convert to fraction form
   85,826/184,564 = 184,564/x
3. Step 3: Cross multiply
   85,826x = 184,564 × 184,564
4. Step 4: Simplify right side
   85,826x = 34,063,870,096
5. Step 5: Solve for x
   x = 34,063,870,096/85,826
6. Step 6: Final answer
   x = 396,894.53