Finding the Third Proportional to 78,944 and 172,144

Step by Step Solution

1. Step 1: Write the proportion equation
   78,944 : 172,144 = 172,144 : x
2. Step 2: Convert to fraction form
   78,944/172,144 = 172,144/x
3. Step 3: Cross multiply
   78,944x = 172,144 × 172,144
4. Step 4: Simplify right side
   78,944x = 29,633,556,736
5. Step 5: Solve for x
   x = 29,633,556,736/78,944
6. Step 6: Final answer
   x = 375,374.40