Finding the Third Proportional to 65,157 and 140,634

Step by Step Solution

1. Step 1: Write the proportion equation
   65,157 : 140,634 = 140,634 : x
2. Step 2: Convert to fraction form
   65,157/140,634 = 140,634/x
3. Step 3: Cross multiply
   65,157x = 140,634 × 140,634
4. Step 4: Simplify right side
   65,157x = 19,777,921,956
5. Step 5: Solve for x
   x = 19,777,921,956/65,157
6. Step 6: Final answer
   x = 303,542.55