Finding the Third Proportional to 144,501 and 314,022

Step by Step Solution

1. Step 1: Write the proportion equation
   144,501 : 314,022 = 314,022 : x
2. Step 2: Convert to fraction form
   144,501/314,022 = 314,022/x
3. Step 3: Cross multiply
   144,501x = 314,022 × 314,022
4. Step 4: Simplify right side
   144,501x = 98,609,816,484
5. Step 5: Solve for x
   x = 98,609,816,484/144,501
6. Step 6: Final answer
   x = 682,416.15