Finding the Third Proportional to 142,920 and 322,254

Step by Step Solution

1. Step 1: Write the proportion equation
   142,920 : 322,254 = 322,254 : x
2. Step 2: Convert to fraction form
   142,920/322,254 = 322,254/x
3. Step 3: Cross multiply
   142,920x = 322,254 × 322,254
4. Step 4: Simplify right side
   142,920x = 103,847,640,516
5. Step 5: Solve for x
   x = 103,847,640,516/142,920
6. Step 6: Final answer
   x = 726,613.77