Finding the Third Proportional to 101,357 and 142,571

Step by Step Solution

1. Step 1: Write the proportion equation
   101,357 : 142,571 = 142,571 : x
2. Step 2: Convert to fraction form
   101,357/142,571 = 142,571/x
3. Step 3: Cross multiply
   101,357x = 142,571 × 142,571
4. Step 4: Simplify right side
   101,357x = 20,326,490,041
5. Step 5: Solve for x
   x = 20,326,490,041/101,357
6. Step 6: Final answer
   x = 200,543.52