Finding the Third Proportional to 82,778 and 184,293

Step by Step Solution

1. Step 1: Write the proportion equation
   82,778 : 184,293 = 184,293 : x
2. Step 2: Convert to fraction form
   82,778/184,293 = 184,293/x
3. Step 3: Cross multiply
   82,778x = 184,293 × 184,293
4. Step 4: Simplify right side
   82,778x = 33,963,909,849
5. Step 5: Solve for x
   x = 33,963,909,849/82,778
6. Step 6: Final answer
   x = 410,301.17