Finding the Third Proportional to 80,564 and 172,786

Step by Step Solution

1. Step 1: Write the proportion equation
   80,564 : 172,786 = 172,786 : x
2. Step 2: Convert to fraction form
   80,564/172,786 = 172,786/x
3. Step 3: Cross multiply
   80,564x = 172,786 × 172,786
4. Step 4: Simplify right side
   80,564x = 29,855,001,796
5. Step 5: Solve for x
   x = 29,855,001,796/80,564
6. Step 6: Final answer
   x = 370,574.97