Finding the Third Proportional to 80,393 and 175,072

Step by Step Solution

1. Step 1: Write the proportion equation
   80,393 : 175,072 = 175,072 : x
2. Step 2: Convert to fraction form
   80,393/175,072 = 175,072/x
3. Step 3: Cross multiply
   80,393x = 175,072 × 175,072
4. Step 4: Simplify right side
   80,393x = 30,650,205,184
5. Step 5: Solve for x
   x = 30,650,205,184/80,393
6. Step 6: Final answer
   x = 381,254.65