Finding the Third Proportional to 72,177 and 161,040

Step by Step Solution

1. Step 1: Write the proportion equation
   72,177 : 161,040 = 161,040 : x
2. Step 2: Convert to fraction form
   72,177/161,040 = 161,040/x
3. Step 3: Cross multiply
   72,177x = 161,040 × 161,040
4. Step 4: Simplify right side
   72,177x = 25,933,881,600
5. Step 5: Solve for x
   x = 25,933,881,600/72,177
6. Step 6: Final answer
   x = 359,309.50