Finding the Third Proportional to 65,678 and 101,596

Step by Step Solution

1. Step 1: Write the proportion equation
   65,678 : 101,596 = 101,596 : x
2. Step 2: Convert to fraction form
   65,678/101,596 = 101,596/x
3. Step 3: Cross multiply
   65,678x = 101,596 × 101,596
4. Step 4: Simplify right side
   65,678x = 10,321,747,216
5. Step 5: Solve for x
   x = 10,321,747,216/65,678
6. Step 6: Final answer
   x = 157,156.84