Finding the Third Proportional to 80,430 and 174,684

Step by Step Solution

1. Step 1: Write the proportion equation
   80,430 : 174,684 = 174,684 : x
2. Step 2: Convert to fraction form
   80,430/174,684 = 174,684/x
3. Step 3: Cross multiply
   80,430x = 174,684 × 174,684
4. Step 4: Simplify right side
   80,430x = 30,514,499,856
5. Step 5: Solve for x
   x = 30,514,499,856/80,430
6. Step 6: Final answer
   x = 379,392.02