Finding the Third Proportional to 78,181 and 184,372

Step by Step Solution

1. Step 1: Write the proportion equation
   78,181 : 184,372 = 184,372 : x
2. Step 2: Convert to fraction form
   78,181/184,372 = 184,372/x
3. Step 3: Cross multiply
   78,181x = 184,372 × 184,372
4. Step 4: Simplify right side
   78,181x = 33,993,034,384
5. Step 5: Solve for x
   x = 33,993,034,384/78,181
6. Step 6: Final answer
   x = 434,799.18