Finding the Third Proportional to 123,974 and 184,138

Step by Step Solution

1. Step 1: Write the proportion equation
   123,974 : 184,138 = 184,138 : x
2. Step 2: Convert to fraction form
   123,974/184,138 = 184,138/x
3. Step 3: Cross multiply
   123,974x = 184,138 × 184,138
4. Step 4: Simplify right side
   123,974x = 33,906,803,044
5. Step 5: Solve for x
   x = 33,906,803,044/123,974
6. Step 6: Final answer
   x = 273,499.31