Finding the Third Proportional to 83,025 and 171,958

Step by Step Solution

1. Step 1: Write the proportion equation
   83,025 : 171,958 = 171,958 : x
2. Step 2: Convert to fraction form
   83,025/171,958 = 171,958/x
3. Step 3: Cross multiply
   83,025x = 171,958 × 171,958
4. Step 4: Simplify right side
   83,025x = 29,569,553,764
5. Step 5: Solve for x
   x = 29,569,553,764/83,025
6. Step 6: Final answer
   x = 356,152.41