Finding the Third Proportional to 83,137 and 172,185

Step by Step Solution

1. Step 1: Write the proportion equation
   83,137 : 172,185 = 172,185 : x
2. Step 2: Convert to fraction form
   83,137/172,185 = 172,185/x
3. Step 3: Cross multiply
   83,137x = 172,185 × 172,185
4. Step 4: Simplify right side
   83,137x = 29,647,674,225
5. Step 5: Solve for x
   x = 29,647,674,225/83,137
6. Step 6: Final answer
   x = 356,612.27