Finding the Third Proportional to 80,240 and 174,088

Step by Step Solution

1. Step 1: Write the proportion equation
   80,240 : 174,088 = 174,088 : x
2. Step 2: Convert to fraction form
   80,240/174,088 = 174,088/x
3. Step 3: Cross multiply
   80,240x = 174,088 × 174,088
4. Step 4: Simplify right side
   80,240x = 30,306,631,744
5. Step 5: Solve for x
   x = 30,306,631,744/80,240
6. Step 6: Final answer
   x = 377,699.80