Finding the Third Proportional to 79,712 and 174,904

Step by Step Solution

1. Step 1: Write the proportion equation
   79,712 : 174,904 = 174,904 : x
2. Step 2: Convert to fraction form
   79,712/174,904 = 174,904/x
3. Step 3: Cross multiply
   79,712x = 174,904 × 174,904
4. Step 4: Simplify right side
   79,712x = 30,591,409,216
5. Step 5: Solve for x
   x = 30,591,409,216/79,712
6. Step 6: Final answer
   x = 383,774.20