Finding the Third Proportional to 78,969 and 172,699

Step by Step Solution

1. Step 1: Write the proportion equation
   78,969 : 172,699 = 172,699 : x
2. Step 2: Convert to fraction form
   78,969/172,699 = 172,699/x
3. Step 3: Cross multiply
   78,969x = 172,699 × 172,699
4. Step 4: Simplify right side
   78,969x = 29,824,944,601
5. Step 5: Solve for x
   x = 29,824,944,601/78,969
6. Step 6: Final answer
   x = 377,679.15