Finding the Third Proportional to 120,664 and 184,116

Step by Step Solution

1. Step 1: Write the proportion equation
   120,664 : 184,116 = 184,116 : x
2. Step 2: Convert to fraction form
   120,664/184,116 = 184,116/x
3. Step 3: Cross multiply
   120,664x = 184,116 × 184,116
4. Step 4: Simplify right side
   120,664x = 33,898,701,456
5. Step 5: Solve for x
   x = 33,898,701,456/120,664
6. Step 6: Final answer
   x = 280,934.67