Finding the Third Proportional to 80,080 and 174,896

Step by Step Solution

1. Step 1: Write the proportion equation
   80,080 : 174,896 = 174,896 : x
2. Step 2: Convert to fraction form
   80,080/174,896 = 174,896/x
3. Step 3: Cross multiply
   80,080x = 174,896 × 174,896
4. Step 4: Simplify right side
   80,080x = 30,588,610,816
5. Step 5: Solve for x
   x = 30,588,610,816/80,080
6. Step 6: Final answer
   x = 381,975.66