Finding the Third Proportional to 85,878 and 184,454

Step by Step Solution

1. Step 1: Write the proportion equation
   85,878 : 184,454 = 184,454 : x
2. Step 2: Convert to fraction form
   85,878/184,454 = 184,454/x
3. Step 3: Cross multiply
   85,878x = 184,454 × 184,454
4. Step 4: Simplify right side
   85,878x = 34,023,278,116
5. Step 5: Solve for x
   x = 34,023,278,116/85,878
6. Step 6: Final answer
   x = 396,181.54