Finding the Third Proportional to 78,902 and 171,628

Step by Step Solution

1. Step 1: Write the proportion equation
   78,902 : 171,628 = 171,628 : x
2. Step 2: Convert to fraction form
   78,902/171,628 = 171,628/x
3. Step 3: Cross multiply
   78,902x = 171,628 × 171,628
4. Step 4: Simplify right side
   78,902x = 29,456,170,384
5. Step 5: Solve for x
   x = 29,456,170,384/78,902
6. Step 6: Final answer
   x = 373,326.03