Finding the Third Proportional to 71,872 and 152,960

Step by Step Solution

1. Step 1: Write the proportion equation
   71,872 : 152,960 = 152,960 : x
2. Step 2: Convert to fraction form
   71,872/152,960 = 152,960/x
3. Step 3: Cross multiply
   71,872x = 152,960 × 152,960
4. Step 4: Simplify right side
   71,872x = 23,396,761,600
5. Step 5: Solve for x
   x = 23,396,761,600/71,872
6. Step 6: Final answer
   x = 325,533.75