Finding the Third Proportional to 78,850 and 172,268

Step by Step Solution

1. Step 1: Write the proportion equation
   78,850 : 172,268 = 172,268 : x
2. Step 2: Convert to fraction form
   78,850/172,268 = 172,268/x
3. Step 3: Cross multiply
   78,850x = 172,268 × 172,268
4. Step 4: Simplify right side
   78,850x = 29,676,263,824
5. Step 5: Solve for x
   x = 29,676,263,824/78,850
6. Step 6: Final answer
   x = 376,363.52