Finding the Third Proportional to 123,096 and 184,431

Step by Step Solution

1. Step 1: Write the proportion equation
   123,096 : 184,431 = 184,431 : x
2. Step 2: Convert to fraction form
   123,096/184,431 = 184,431/x
3. Step 3: Cross multiply
   123,096x = 184,431 × 184,431
4. Step 4: Simplify right side
   123,096x = 34,014,793,761
5. Step 5: Solve for x
   x = 34,014,793,761/123,096
6. Step 6: Final answer
   x = 276,327.37