Finding the Third Proportional to 83,664 and 179,460

Step by Step Solution

1. Step 1: Write the proportion equation
   83,664 : 179,460 = 179,460 : x
2. Step 2: Convert to fraction form
   83,664/179,460 = 179,460/x
3. Step 3: Cross multiply
   83,664x = 179,460 × 179,460
4. Step 4: Simplify right side
   83,664x = 32,205,891,600
5. Step 5: Solve for x
   x = 32,205,891,600/83,664
6. Step 6: Final answer
   x = 384,943.24