Finding the Third Proportional to 65,768 and 142,606

Step by Step Solution

1. Step 1: Write the proportion equation
   65,768 : 142,606 = 142,606 : x
2. Step 2: Convert to fraction form
   65,768/142,606 = 142,606/x
3. Step 3: Cross multiply
   65,768x = 142,606 × 142,606
4. Step 4: Simplify right side
   65,768x = 20,336,471,236
5. Step 5: Solve for x
   x = 20,336,471,236/65,768
6. Step 6: Final answer
   x = 309,215.29