Finding the Third Proportional to 96,918 and 142,182

Step by Step Solution

1. Step 1: Write the proportion equation
   96,918 : 142,182 = 142,182 : x
2. Step 2: Convert to fraction form
   96,918/142,182 = 142,182/x
3. Step 3: Cross multiply
   96,918x = 142,182 × 142,182
4. Step 4: Simplify right side
   96,918x = 20,215,721,124
5. Step 5: Solve for x
   x = 20,215,721,124/96,918
6. Step 6: Final answer
   x = 208,585.83