Finding the Third Proportional to 78,435 and 161,039.81

Step by Step Solution

1. Step 1: Write the proportion equation
   78,435 : 161,039.81 = 161,039.81 : x
2. Step 2: Convert to fraction form
   78,435/161,039.81 = 161,039.81/x
3. Step 3: Cross multiply
   78,435x = 161,039.81 × 161,039.81
4. Step 4: Simplify right side
   78,435x = 25,933,821,210.04
5. Step 5: Solve for x
   x = 25,933,821,210.04/78,435
6. Step 6: Final answer
   x = 330,640.93