Finding the Third Proportional to 80,565 and 172,788

Step by Step Solution

1. Step 1: Write the proportion equation
   80,565 : 172,788 = 172,788 : x
2. Step 2: Convert to fraction form
   80,565/172,788 = 172,788/x
3. Step 3: Cross multiply
   80,565x = 172,788 × 172,788
4. Step 4: Simplify right side
   80,565x = 29,855,692,944
5. Step 5: Solve for x
   x = 29,855,692,944/80,565
6. Step 6: Final answer
   x = 370,578.95