Finding the Third Proportional to 78,816 and 172,944

Step by Step Solution

1. Step 1: Write the proportion equation
   78,816 : 172,944 = 172,944 : x
2. Step 2: Convert to fraction form
   78,816/172,944 = 172,944/x
3. Step 3: Cross multiply
   78,816x = 172,944 × 172,944
4. Step 4: Simplify right side
   78,816x = 29,909,627,136
5. Step 5: Solve for x
   x = 29,909,627,136/78,816
6. Step 6: Final answer
   x = 379,486.74