Finding the Third Proportional to 121,550 and 184,002

Step by Step Solution

1. Step 1: Write the proportion equation
   121,550 : 184,002 = 184,002 : x
2. Step 2: Convert to fraction form
   121,550/184,002 = 184,002/x
3. Step 3: Cross multiply
   121,550x = 184,002 × 184,002
4. Step 4: Simplify right side
   121,550x = 33,856,736,004
5. Step 5: Solve for x
   x = 33,856,736,004/121,550
6. Step 6: Final answer
   x = 278,541.64