Finding the Third Proportional to 72,210 and 161,022

Step by Step Solution

1. Step 1: Write the proportion equation
   72,210 : 161,022 = 161,022 : x
2. Step 2: Convert to fraction form
   72,210/161,022 = 161,022/x
3. Step 3: Cross multiply
   72,210x = 161,022 × 161,022
4. Step 4: Simplify right side
   72,210x = 25,928,084,484
5. Step 5: Solve for x
   x = 25,928,084,484/72,210
6. Step 6: Final answer
   x = 359,065.01