Finding the Third Proportional to 79,025 and 174,061

Step by Step Solution

1. Step 1: Write the proportion equation
   79,025 : 174,061 = 174,061 : x
2. Step 2: Convert to fraction form
   79,025/174,061 = 174,061/x
3. Step 3: Cross multiply
   79,025x = 174,061 × 174,061
4. Step 4: Simplify right side
   79,025x = 30,297,231,721
5. Step 5: Solve for x
   x = 30,297,231,721/79,025
6. Step 6: Final answer
   x = 383,387.94