Finding the Third Proportional to 72,144 and 166,080

Step by Step Solution

1. Step 1: Write the proportion equation
   72,144 : 166,080 = 166,080 : x
2. Step 2: Convert to fraction form
   72,144/166,080 = 166,080/x
3. Step 3: Cross multiply
   72,144x = 166,080 × 166,080
4. Step 4: Simplify right side
   72,144x = 27,582,566,400
5. Step 5: Solve for x
   x = 27,582,566,400/72,144
6. Step 6: Final answer
   x = 382,326.55