Finding the Third Proportional to 78,036 and 165,360

Step by Step Solution

1. Step 1: Write the proportion equation
   78,036 : 165,360 = 165,360 : x
2. Step 2: Convert to fraction form
   78,036/165,360 = 165,360/x
3. Step 3: Cross multiply
   78,036x = 165,360 × 165,360
4. Step 4: Simplify right side
   78,036x = 27,343,929,600
5. Step 5: Solve for x
   x = 27,343,929,600/78,036
6. Step 6: Final answer
   x = 350,401.48