Finding the Third Proportional to 182,178 and 384,160.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,178 : 384,160.50 = 384,160.50 : x
2. Step 2: Convert to fraction form
   182,178/384,160.50 = 384,160.50/x
3. Step 3: Cross multiply
   182,178x = 384,160.50 × 384,160.50
4. Step 4: Simplify right side
   182,178x = 147,579,289,760.25
5. Step 5: Solve for x
   x = 147,579,289,760.25/182,178
6. Step 6: Final answer
   x = 810,082.94