Finding the Third Proportional to 65,091 and 142,666

Step by Step Solution

1. Step 1: Write the proportion equation
   65,091 : 142,666 = 142,666 : x
2. Step 2: Convert to fraction form
   65,091/142,666 = 142,666/x
3. Step 3: Cross multiply
   65,091x = 142,666 × 142,666
4. Step 4: Simplify right side
   65,091x = 20,353,587,556
5. Step 5: Solve for x
   x = 20,353,587,556/65,091
6. Step 6: Final answer
   x = 312,694.34