Finding the Third Proportional to 85,021 and 184,945

Step by Step Solution

1. Step 1: Write the proportion equation
   85,021 : 184,945 = 184,945 : x
2. Step 2: Convert to fraction form
   85,021/184,945 = 184,945/x
3. Step 3: Cross multiply
   85,021x = 184,945 × 184,945
4. Step 4: Simplify right side
   85,021x = 34,204,653,025
5. Step 5: Solve for x
   x = 34,204,653,025/85,021
6. Step 6: Final answer
   x = 402,308.29