Finding the Third Proportional to 65,981 and 142,222

Step by Step Solution

1. Step 1: Write the proportion equation
   65,981 : 142,222 = 142,222 : x
2. Step 2: Convert to fraction form
   65,981/142,222 = 142,222/x
3. Step 3: Cross multiply
   65,981x = 142,222 × 142,222
4. Step 4: Simplify right side
   65,981x = 20,227,097,284
5. Step 5: Solve for x
   x = 20,227,097,284/65,981
6. Step 6: Final answer
   x = 306,559.42