Finding the Third Proportional to 71,780 and 151,406

Step by Step Solution

1. Step 1: Write the proportion equation
   71,780 : 151,406 = 151,406 : x
2. Step 2: Convert to fraction form
   71,780/151,406 = 151,406/x
3. Step 3: Cross multiply
   71,780x = 151,406 × 151,406
4. Step 4: Simplify right side
   71,780x = 22,923,776,836
5. Step 5: Solve for x
   x = 22,923,776,836/71,780
6. Step 6: Final answer
   x = 319,361.62