Finding the Third Proportional to 80,818 and 172,868

Step by Step Solution

1. Step 1: Write the proportion equation
   80,818 : 172,868 = 172,868 : x
2. Step 2: Convert to fraction form
   80,818/172,868 = 172,868/x
3. Step 3: Cross multiply
   80,818x = 172,868 × 172,868
4. Step 4: Simplify right side
   80,818x = 29,883,345,424
5. Step 5: Solve for x
   x = 29,883,345,424/80,818
6. Step 6: Final answer
   x = 369,761.01