Finding the Third Proportional to 83,138 and 172,189

Step by Step Solution

1. Step 1: Write the proportion equation
   83,138 : 172,189 = 172,189 : x
2. Step 2: Convert to fraction form
   83,138/172,189 = 172,189/x
3. Step 3: Cross multiply
   83,138x = 172,189 × 172,189
4. Step 4: Simplify right side
   83,138x = 29,649,051,721
5. Step 5: Solve for x
   x = 29,649,051,721/83,138
6. Step 6: Final answer
   x = 356,624.55