Finding the Third Proportional to 65,817 and 142,142

Step by Step Solution

1. Step 1: Write the proportion equation
   65,817 : 142,142 = 142,142 : x
2. Step 2: Convert to fraction form
   65,817/142,142 = 142,142/x
3. Step 3: Cross multiply
   65,817x = 142,142 × 142,142
4. Step 4: Simplify right side
   65,817x = 20,204,348,164
5. Step 5: Solve for x
   x = 20,204,348,164/65,817
6. Step 6: Final answer
   x = 306,977.65