Finding the Third Proportional to 78,830 and 171,268

Step by Step Solution

1. Step 1: Write the proportion equation
   78,830 : 171,268 = 171,268 : x
2. Step 2: Convert to fraction form
   78,830/171,268 = 171,268/x
3. Step 3: Cross multiply
   78,830x = 171,268 × 171,268
4. Step 4: Simplify right side
   78,830x = 29,332,727,824
5. Step 5: Solve for x
   x = 29,332,727,824/78,830
6. Step 6: Final answer
   x = 372,101.08