Finding the Third Proportional to 78,338 and 172,228

Step by Step Solution

1. Step 1: Write the proportion equation
   78,338 : 172,228 = 172,228 : x
2. Step 2: Convert to fraction form
   78,338/172,228 = 172,228/x
3. Step 3: Cross multiply
   78,338x = 172,228 × 172,228
4. Step 4: Simplify right side
   78,338x = 29,662,483,984
5. Step 5: Solve for x
   x = 29,662,483,984/78,338
6. Step 6: Final answer
   x = 378,647.45