Finding the Third Proportional to 71,474 and 152,780

Step by Step Solution

1. Step 1: Write the proportion equation
   71,474 : 152,780 = 152,780 : x
2. Step 2: Convert to fraction form
   71,474/152,780 = 152,780/x
3. Step 3: Cross multiply
   71,474x = 152,780 × 152,780
4. Step 4: Simplify right side
   71,474x = 23,341,728,400
5. Step 5: Solve for x
   x = 23,341,728,400/71,474
6. Step 6: Final answer
   x = 326,576.49