Finding the Third Proportional to 171,084 and 412,158

Step by Step Solution

1. Step 1: Write the proportion equation
   171,084 : 412,158 = 412,158 : x
2. Step 2: Convert to fraction form
   171,084/412,158 = 412,158/x
3. Step 3: Cross multiply
   171,084x = 412,158 × 412,158
4. Step 4: Simplify right side
   171,084x = 169,874,216,964
5. Step 5: Solve for x
   x = 169,874,216,964/171,084
6. Step 6: Final answer
   x = 992,928.72