Finding the Third Proportional to 80,352 and 175,004

Step by Step Solution

1. Step 1: Write the proportion equation
   80,352 : 175,004 = 175,004 : x
2. Step 2: Convert to fraction form
   80,352/175,004 = 175,004/x
3. Step 3: Cross multiply
   80,352x = 175,004 × 175,004
4. Step 4: Simplify right side
   80,352x = 30,626,400,016
5. Step 5: Solve for x
   x = 30,626,400,016/80,352
6. Step 6: Final answer
   x = 381,152.93