Finding the Third Proportional to 96,846 and 142,314

Step by Step Solution

1. Step 1: Write the proportion equation
   96,846 : 142,314 = 142,314 : x
2. Step 2: Convert to fraction form
   96,846/142,314 = 142,314/x
3. Step 3: Cross multiply
   96,846x = 142,314 × 142,314
4. Step 4: Simplify right side
   96,846x = 20,253,274,596
5. Step 5: Solve for x
   x = 20,253,274,596/96,846
6. Step 6: Final answer
   x = 209,128.66