Finding the Third Proportional to 80,042 and 174,841

Step by Step Solution

1. Step 1: Write the proportion equation
   80,042 : 174,841 = 174,841 : x
2. Step 2: Convert to fraction form
   80,042/174,841 = 174,841/x
3. Step 3: Cross multiply
   80,042x = 174,841 × 174,841
4. Step 4: Simplify right side
   80,042x = 30,569,375,281
5. Step 5: Solve for x
   x = 30,569,375,281/80,042
6. Step 6: Final answer
   x = 381,916.68