Finding the Third Proportional to 182,174 and 384,150

Step by Step Solution

1. Step 1: Write the proportion equation
   182,174 : 384,150 = 384,150 : x
2. Step 2: Convert to fraction form
   182,174/384,150 = 384,150/x
3. Step 3: Cross multiply
   182,174x = 384,150 × 384,150
4. Step 4: Simplify right side
   182,174x = 147,571,222,500
5. Step 5: Solve for x
   x = 147,571,222,500/182,174
6. Step 6: Final answer
   x = 810,056.44