Finding the Third Proportional to 78,795 and 172,889

Step by Step Solution

1. Step 1: Write the proportion equation
   78,795 : 172,889 = 172,889 : x
2. Step 2: Convert to fraction form
   78,795/172,889 = 172,889/x
3. Step 3: Cross multiply
   78,795x = 172,889 × 172,889
4. Step 4: Simplify right side
   78,795x = 29,890,606,321
5. Step 5: Solve for x
   x = 29,890,606,321/78,795
6. Step 6: Final answer
   x = 379,346.49