Finding the Third Proportional to 121,632 and 184,096

Step by Step Solution

1. Step 1: Write the proportion equation
   121,632 : 184,096 = 184,096 : x
2. Step 2: Convert to fraction form
   121,632/184,096 = 184,096/x
3. Step 3: Cross multiply
   121,632x = 184,096 × 184,096
4. Step 4: Simplify right side
   121,632x = 33,891,337,216
5. Step 5: Solve for x
   x = 33,891,337,216/121,632
6. Step 6: Final answer
   x = 278,638.33