Finding the Third Proportional to 143,082 and 194,324

Step by Step Solution

1. Step 1: Write the proportion equation
   143,082 : 194,324 = 194,324 : x
2. Step 2: Convert to fraction form
   143,082/194,324 = 194,324/x
3. Step 3: Cross multiply
   143,082x = 194,324 × 194,324
4. Step 4: Simplify right side
   143,082x = 37,761,816,976
5. Step 5: Solve for x
   x = 37,761,816,976/143,082
6. Step 6: Final answer
   x = 263,917.31