Finding the Third Proportional to 65,722 and 142,516

Step by Step Solution

1. Step 1: Write the proportion equation
   65,722 : 142,516 = 142,516 : x
2. Step 2: Convert to fraction form
   65,722/142,516 = 142,516/x
3. Step 3: Cross multiply
   65,722x = 142,516 × 142,516
4. Step 4: Simplify right side
   65,722x = 20,310,810,256
5. Step 5: Solve for x
   x = 20,310,810,256/65,722
6. Step 6: Final answer
   x = 309,041.27