Finding the Third Proportional to 71,477 and 152,198

Step by Step Solution

1. Step 1: Write the proportion equation
   71,477 : 152,198 = 152,198 : x
2. Step 2: Convert to fraction form
   71,477/152,198 = 152,198/x
3. Step 3: Cross multiply
   71,477x = 152,198 × 152,198
4. Step 4: Simplify right side
   71,477x = 23,164,231,204
5. Step 5: Solve for x
   x = 23,164,231,204/71,477
6. Step 6: Final answer
   x = 324,079.51