Finding the Third Proportional to 82,839 and 184,402

Step by Step Solution

1. Step 1: Write the proportion equation
   82,839 : 184,402 = 184,402 : x
2. Step 2: Convert to fraction form
   82,839/184,402 = 184,402/x
3. Step 3: Cross multiply
   82,839x = 184,402 × 184,402
4. Step 4: Simplify right side
   82,839x = 34,004,097,604
5. Step 5: Solve for x
   x = 34,004,097,604/82,839
6. Step 6: Final answer
   x = 410,484.16