Finding the Third Proportional to 80,490 and 174,870

Step by Step Solution

1. Step 1: Write the proportion equation
   80,490 : 174,870 = 174,870 : x
2. Step 2: Convert to fraction form
   80,490/174,870 = 174,870/x
3. Step 3: Cross multiply
   80,490x = 174,870 × 174,870
4. Step 4: Simplify right side
   80,490x = 30,579,516,900
5. Step 5: Solve for x
   x = 30,579,516,900/80,490
6. Step 6: Final answer
   x = 379,916.97