Finding the Third Proportional to 78,794 and 172,896

Step by Step Solution

1. Step 1: Write the proportion equation
   78,794 : 172,896 = 172,896 : x
2. Step 2: Convert to fraction form
   78,794/172,896 = 172,896/x
3. Step 3: Cross multiply
   78,794x = 172,896 × 172,896
4. Step 4: Simplify right side
   78,794x = 29,893,026,816
5. Step 5: Solve for x
   x = 29,893,026,816/78,794
6. Step 6: Final answer
   x = 379,382.02