Finding the Third Proportional to 83,944 and 184,428

Step by Step Solution

1. Step 1: Write the proportion equation
   83,944 : 184,428 = 184,428 : x
2. Step 2: Convert to fraction form
   83,944/184,428 = 184,428/x
3. Step 3: Cross multiply
   83,944x = 184,428 × 184,428
4. Step 4: Simplify right side
   83,944x = 34,013,687,184
5. Step 5: Solve for x
   x = 34,013,687,184/83,944
6. Step 6: Final answer
   x = 405,194.98