Finding the Third Proportional to 82,776 and 184,288

Step by Step Solution

1. Step 1: Write the proportion equation
   82,776 : 184,288 = 184,288 : x
2. Step 2: Convert to fraction form
   82,776/184,288 = 184,288/x
3. Step 3: Cross multiply
   82,776x = 184,288 × 184,288
4. Step 4: Simplify right side
   82,776x = 33,962,066,944
5. Step 5: Solve for x
   x = 33,962,066,944/82,776
6. Step 6: Final answer
   x = 410,288.81