Finding the Third Proportional to 71,168 and 164,736

Step by Step Solution

1. Step 1: Write the proportion equation
   71,168 : 164,736 = 164,736 : x
2. Step 2: Convert to fraction form
   71,168/164,736 = 164,736/x
3. Step 3: Cross multiply
   71,168x = 164,736 × 164,736
4. Step 4: Simplify right side
   71,168x = 27,137,949,696
5. Step 5: Solve for x
   x = 27,137,949,696/71,168
6. Step 6: Final answer
   x = 381,322.36