Finding the Third Proportional to 79,724 and 173,461

Step by Step Solution

1. Step 1: Write the proportion equation
   79,724 : 173,461 = 173,461 : x
2. Step 2: Convert to fraction form
   79,724/173,461 = 173,461/x
3. Step 3: Cross multiply
   79,724x = 173,461 × 173,461
4. Step 4: Simplify right side
   79,724x = 30,088,718,521
5. Step 5: Solve for x
   x = 30,088,718,521/79,724
6. Step 6: Final answer
   x = 377,411.05