Finding the Third Proportional to 65,763 and 142,698

Step by Step Solution

1. Step 1: Write the proportion equation
   65,763 : 142,698 = 142,698 : x
2. Step 2: Convert to fraction form
   65,763/142,698 = 142,698/x
3. Step 3: Cross multiply
   65,763x = 142,698 × 142,698
4. Step 4: Simplify right side
   65,763x = 20,362,719,204
5. Step 5: Solve for x
   x = 20,362,719,204/65,763
6. Step 6: Final answer
   x = 309,637.93