Finding the Third Proportional to 78,384 and 166,452

Step by Step Solution

1. Step 1: Write the proportion equation
   78,384 : 166,452 = 166,452 : x
2. Step 2: Convert to fraction form
   78,384/166,452 = 166,452/x
3. Step 3: Cross multiply
   78,384x = 166,452 × 166,452
4. Step 4: Simplify right side
   78,384x = 27,706,268,304
5. Step 5: Solve for x
   x = 27,706,268,304/78,384
6. Step 6: Final answer
   x = 353,468.42