Finding the Third Proportional to 85,369 and 184,414

Step by Step Solution

1. Step 1: Write the proportion equation
   85,369 : 184,414 = 184,414 : x
2. Step 2: Convert to fraction form
   85,369/184,414 = 184,414/x
3. Step 3: Cross multiply
   85,369x = 184,414 × 184,414
4. Step 4: Simplify right side
   85,369x = 34,008,523,396
5. Step 5: Solve for x
   x = 34,008,523,396/85,369
6. Step 6: Final answer
   x = 398,370.88