Finding the Third Proportional to 78,180 and 184,371

Step by Step Solution

1. Step 1: Write the proportion equation
   78,180 : 184,371 = 184,371 : x
2. Step 2: Convert to fraction form
   78,180/184,371 = 184,371/x
3. Step 3: Cross multiply
   78,180x = 184,371 × 184,371
4. Step 4: Simplify right side
   78,180x = 33,992,665,641
5. Step 5: Solve for x
   x = 33,992,665,641/78,180
6. Step 6: Final answer
   x = 434,800.02