Finding the Third Proportional to 78,796 and 172,900

Step by Step Solution

1. Step 1: Write the proportion equation
   78,796 : 172,900 = 172,900 : x
2. Step 2: Convert to fraction form
   78,796/172,900 = 172,900/x
3. Step 3: Cross multiply
   78,796x = 172,900 × 172,900
4. Step 4: Simplify right side
   78,796x = 29,894,410,000
5. Step 5: Solve for x
   x = 29,894,410,000/78,796
6. Step 6: Final answer
   x = 379,389.94