Finding the Third Proportional to 79,384 and 166,946

Step by Step Solution

1. Step 1: Write the proportion equation
   79,384 : 166,946 = 166,946 : x
2. Step 2: Convert to fraction form
   79,384/166,946 = 166,946/x
3. Step 3: Cross multiply
   79,384x = 166,946 × 166,946
4. Step 4: Simplify right side
   79,384x = 27,870,966,916
5. Step 5: Solve for x
   x = 27,870,966,916/79,384
6. Step 6: Final answer
   x = 351,090.48