Finding the Third Proportional to 79,724 and 174,928

Step by Step Solution

1. Step 1: Write the proportion equation
   79,724 : 174,928 = 174,928 : x
2. Step 2: Convert to fraction form
   79,724/174,928 = 174,928/x
3. Step 3: Cross multiply
   79,724x = 174,928 × 174,928
4. Step 4: Simplify right side
   79,724x = 30,599,805,184
5. Step 5: Solve for x
   x = 30,599,805,184/79,724
6. Step 6: Final answer
   x = 383,821.75