Finding the Third Proportional to 65,634 and 140,602

Step by Step Solution

1. Step 1: Write the proportion equation
   65,634 : 140,602 = 140,602 : x
2. Step 2: Convert to fraction form
   65,634/140,602 = 140,602/x
3. Step 3: Cross multiply
   65,634x = 140,602 × 140,602
4. Step 4: Simplify right side
   65,634x = 19,768,922,404
5. Step 5: Solve for x
   x = 19,768,922,404/65,634
6. Step 6: Final answer
   x = 301,199.41