Finding the Third Proportional to 120,166 and 184,805

Step by Step Solution

1. Step 1: Write the proportion equation
   120,166 : 184,805 = 184,805 : x
2. Step 2: Convert to fraction form
   120,166/184,805 = 184,805/x
3. Step 3: Cross multiply
   120,166x = 184,805 × 184,805
4. Step 4: Simplify right side
   120,166x = 34,152,888,025
5. Step 5: Solve for x
   x = 34,152,888,025/120,166
6. Step 6: Final answer
   x = 284,214.24