Finding the Third Proportional to 64,956 and 142,557

Step by Step Solution

1. Step 1: Write the proportion equation
   64,956 : 142,557 = 142,557 : x
2. Step 2: Convert to fraction form
   64,956/142,557 = 142,557/x
3. Step 3: Cross multiply
   64,956x = 142,557 × 142,557
4. Step 4: Simplify right side
   64,956x = 20,322,498,249
5. Step 5: Solve for x
   x = 20,322,498,249/64,956
6. Step 6: Final answer
   x = 312,865.61