Finding the Third Proportional to 83,119 and 172,150

Step by Step Solution

1. Step 1: Write the proportion equation
   83,119 : 172,150 = 172,150 : x
2. Step 2: Convert to fraction form
   83,119/172,150 = 172,150/x
3. Step 3: Cross multiply
   83,119x = 172,150 × 172,150
4. Step 4: Simplify right side
   83,119x = 29,635,622,500
5. Step 5: Solve for x
   x = 29,635,622,500/83,119
6. Step 6: Final answer
   x = 356,544.50