Finding the Third Proportional to 82,777 and 184,290

Step by Step Solution

1. Step 1: Write the proportion equation
   82,777 : 184,290 = 184,290 : x
2. Step 2: Convert to fraction form
   82,777/184,290 = 184,290/x
3. Step 3: Cross multiply
   82,777x = 184,290 × 184,290
4. Step 4: Simplify right side
   82,777x = 33,962,804,100
5. Step 5: Solve for x
   x = 33,962,804,100/82,777
6. Step 6: Final answer
   x = 410,292.76