Finding the Third Proportional to 85,116 and 184,976

Step by Step Solution

1. Step 1: Write the proportion equation
   85,116 : 184,976 = 184,976 : x
2. Step 2: Convert to fraction form
   85,116/184,976 = 184,976/x
3. Step 3: Cross multiply
   85,116x = 184,976 × 184,976
4. Step 4: Simplify right side
   85,116x = 34,216,120,576
5. Step 5: Solve for x
   x = 34,216,120,576/85,116
6. Step 6: Final answer
   x = 401,993.99