Finding the Third Proportional to 78,967 and 172,697

Step by Step Solution

1. Step 1: Write the proportion equation
   78,967 : 172,697 = 172,697 : x
2. Step 2: Convert to fraction form
   78,967/172,697 = 172,697/x
3. Step 3: Cross multiply
   78,967x = 172,697 × 172,697
4. Step 4: Simplify right side
   78,967x = 29,824,253,809
5. Step 5: Solve for x
   x = 29,824,253,809/78,967
6. Step 6: Final answer
   x = 377,679.97