Finding the Third Proportional to 85,826 and 184,566

Step by Step Solution

1. Step 1: Write the proportion equation
   85,826 : 184,566 = 184,566 : x
2. Step 2: Convert to fraction form
   85,826/184,566 = 184,566/x
3. Step 3: Cross multiply
   85,826x = 184,566 × 184,566
4. Step 4: Simplify right side
   85,826x = 34,064,608,356
5. Step 5: Solve for x
   x = 34,064,608,356/85,826
6. Step 6: Final answer
   x = 396,903.13