Finding the Third Proportional to 83,951 and 184,439

Step by Step Solution

1. Step 1: Write the proportion equation
   83,951 : 184,439 = 184,439 : x
2. Step 2: Convert to fraction form
   83,951/184,439 = 184,439/x
3. Step 3: Cross multiply
   83,951x = 184,439 × 184,439
4. Step 4: Simplify right side
   83,951x = 34,017,744,721
5. Step 5: Solve for x
   x = 34,017,744,721/83,951
6. Step 6: Final answer
   x = 405,209.52