Finding the Third Proportional to 79,916 and 175,384

Step by Step Solution

1. Step 1: Write the proportion equation
   79,916 : 175,384 = 175,384 : x
2. Step 2: Convert to fraction form
   79,916/175,384 = 175,384/x
3. Step 3: Cross multiply
   79,916x = 175,384 × 175,384
4. Step 4: Simplify right side
   79,916x = 30,759,547,456
5. Step 5: Solve for x
   x = 30,759,547,456/79,916
6. Step 6: Final answer
   x = 384,898.49