Finding the Third Proportional to 82,944 and 183,168

Step by Step Solution

1. Step 1: Write the proportion equation
   82,944 : 183,168 = 183,168 : x
2. Step 2: Convert to fraction form
   82,944/183,168 = 183,168/x
3. Step 3: Cross multiply
   82,944x = 183,168 × 183,168
4. Step 4: Simplify right side
   82,944x = 33,550,516,224
5. Step 5: Solve for x
   x = 33,550,516,224/82,944
6. Step 6: Final answer
   x = 404,496