Finding the Third Proportional to 142,520 and 307,872

Step by Step Solution

1. Step 1: Write the proportion equation
   142,520 : 307,872 = 307,872 : x
2. Step 2: Convert to fraction form
   142,520/307,872 = 307,872/x
3. Step 3: Cross multiply
   142,520x = 307,872 × 307,872
4. Step 4: Simplify right side
   142,520x = 94,785,168,384
5. Step 5: Solve for x
   x = 94,785,168,384/142,520
6. Step 6: Final answer
   x = 665,065.73