Finding the Third Proportional to 96,597 and 142,102

Step by Step Solution

1. Step 1: Write the proportion equation
   96,597 : 142,102 = 142,102 : x
2. Step 2: Convert to fraction form
   96,597/142,102 = 142,102/x
3. Step 3: Cross multiply
   96,597x = 142,102 × 142,102
4. Step 4: Simplify right side
   96,597x = 20,192,978,404
5. Step 5: Solve for x
   x = 20,192,978,404/96,597
6. Step 6: Final answer
   x = 209,043.54