Finding the Third Proportional to 78,344 and 174,128

Step by Step Solution

1. Step 1: Write the proportion equation
   78,344 : 174,128 = 174,128 : x
2. Step 2: Convert to fraction form
   78,344/174,128 = 174,128/x
3. Step 3: Cross multiply
   78,344x = 174,128 × 174,128
4. Step 4: Simplify right side
   78,344x = 30,320,560,384
5. Step 5: Solve for x
   x = 30,320,560,384/78,344
6. Step 6: Final answer
   x = 387,018.28