Finding the Third Proportional to 80,912 and 172,030

Step by Step Solution

1. Step 1: Write the proportion equation
   80,912 : 172,030 = 172,030 : x
2. Step 2: Convert to fraction form
   80,912/172,030 = 172,030/x
3. Step 3: Cross multiply
   80,912x = 172,030 × 172,030
4. Step 4: Simplify right side
   80,912x = 29,594,320,900
5. Step 5: Solve for x
   x = 29,594,320,900/80,912
6. Step 6: Final answer
   x = 365,759.35