Finding the Third Proportional to 80,364 and 175,014

Step by Step Solution

1. Step 1: Write the proportion equation
   80,364 : 175,014 = 175,014 : x
2. Step 2: Convert to fraction form
   80,364/175,014 = 175,014/x
3. Step 3: Cross multiply
   80,364x = 175,014 × 175,014
4. Step 4: Simplify right side
   80,364x = 30,629,900,196
5. Step 5: Solve for x
   x = 30,629,900,196/80,364
6. Step 6: Final answer
   x = 381,139.57