Finding the Third Proportional to 65,481 and 142,629

Step by Step Solution

1. Step 1: Write the proportion equation
   65,481 : 142,629 = 142,629 : x
2. Step 2: Convert to fraction form
   65,481/142,629 = 142,629/x
3. Step 3: Cross multiply
   65,481x = 142,629 × 142,629
4. Step 4: Simplify right side
   65,481x = 20,343,031,641
5. Step 5: Solve for x
   x = 20,343,031,641/65,481
6. Step 6: Final answer
   x = 310,670.75