Finding the Third Proportional to 78,908 and 172,384

Step by Step Solution

1. Step 1: Write the proportion equation
   78,908 : 172,384 = 172,384 : x
2. Step 2: Convert to fraction form
   78,908/172,384 = 172,384/x
3. Step 3: Cross multiply
   78,908x = 172,384 × 172,384
4. Step 4: Simplify right side
   78,908x = 29,716,243,456
5. Step 5: Solve for x
   x = 29,716,243,456/78,908
6. Step 6: Final answer
   x = 376,593.55