Finding the Third Proportional to 82,779 and 184,294

Step by Step Solution

1. Step 1: Write the proportion equation
   82,779 : 184,294 = 184,294 : x
2. Step 2: Convert to fraction form
   82,779/184,294 = 184,294/x
3. Step 3: Cross multiply
   82,779x = 184,294 × 184,294
4. Step 4: Simplify right side
   82,779x = 33,964,278,436
5. Step 5: Solve for x
   x = 33,964,278,436/82,779
6. Step 6: Final answer
   x = 410,300.66