Finding the Third Proportional to 65,172 and 142,817

Step by Step Solution

1. Step 1: Write the proportion equation
   65,172 : 142,817 = 142,817 : x
2. Step 2: Convert to fraction form
   65,172/142,817 = 142,817/x
3. Step 3: Cross multiply
   65,172x = 142,817 × 142,817
4. Step 4: Simplify right side
   65,172x = 20,396,695,489
5. Step 5: Solve for x
   x = 20,396,695,489/65,172
6. Step 6: Final answer
   x = 312,967.16