Finding the Third Proportional to 78,012 and 162,020

Step by Step Solution

1. Step 1: Write the proportion equation
   78,012 : 162,020 = 162,020 : x
2. Step 2: Convert to fraction form
   78,012/162,020 = 162,020/x
3. Step 3: Cross multiply
   78,012x = 162,020 × 162,020
4. Step 4: Simplify right side
   78,012x = 26,250,480,400
5. Step 5: Solve for x
   x = 26,250,480,400/78,012
6. Step 6: Final answer
   x = 336,492.85