Finding the Third Proportional to 78,833 and 172,993

Step by Step Solution

1. Step 1: Write the proportion equation
   78,833 : 172,993 = 172,993 : x
2. Step 2: Convert to fraction form
   78,833/172,993 = 172,993/x
3. Step 3: Cross multiply
   78,833x = 172,993 × 172,993
4. Step 4: Simplify right side
   78,833x = 29,926,578,049
5. Step 5: Solve for x
   x = 29,926,578,049/78,833
6. Step 6: Final answer
   x = 379,619.93