Finding the Third Proportional to 123,023 and 184,534

Step by Step Solution

1. Step 1: Write the proportion equation
   123,023 : 184,534 = 184,534 : x
2. Step 2: Convert to fraction form
   123,023/184,534 = 184,534/x
3. Step 3: Cross multiply
   123,023x = 184,534 × 184,534
4. Step 4: Simplify right side
   123,023x = 34,052,797,156
5. Step 5: Solve for x
   x = 34,052,797,156/123,023
6. Step 6: Final answer
   x = 276,800.25