Finding the Third Proportional to 123,228 and 184,568.63

Step by Step Solution

1. Step 1: Write the proportion equation
   123,228 : 184,568.63 = 184,568.63 : x
2. Step 2: Convert to fraction form
   123,228/184,568.63 = 184,568.63/x
3. Step 3: Cross multiply
   123,228x = 184,568.63 × 184,568.63
4. Step 4: Simplify right side
   123,228x = 34,065,577,334.39
5. Step 5: Solve for x
   x = 34,065,577,334.39/123,228
6. Step 6: Final answer
   x = 276,443.48