Finding the Third Proportional to 142,926 and 322,269

Step by Step Solution

1. Step 1: Write the proportion equation
   142,926 : 322,269 = 322,269 : x
2. Step 2: Convert to fraction form
   142,926/322,269 = 322,269/x
3. Step 3: Cross multiply
   142,926x = 322,269 × 322,269
4. Step 4: Simplify right side
   142,926x = 103,857,308,361
5. Step 5: Solve for x
   x = 103,857,308,361/142,926
6. Step 6: Final answer
   x = 726,650.91