Finding the Third Proportional to 167,568 and 359,123

Step by Step Solution

1. Step 1: Write the proportion equation
   167,568 : 359,123 = 359,123 : x
2. Step 2: Convert to fraction form
   167,568/359,123 = 359,123/x
3. Step 3: Cross multiply
   167,568x = 359,123 × 359,123
4. Step 4: Simplify right side
   167,568x = 128,969,329,129
5. Step 5: Solve for x
   x = 128,969,329,129/167,568
6. Step 6: Final answer
   x = 769,653.69