Finding the Third Proportional to 96,896.25 and 142,155

Step by Step Solution

1. Step 1: Write the proportion equation
   96,896.25 : 142,155 = 142,155 : x
2. Step 2: Convert to fraction form
   96,896.25/142,155 = 142,155/x
3. Step 3: Cross multiply
   96,896.25x = 142,155 × 142,155
4. Step 4: Simplify right side
   96,896.25x = 20,208,044,025
5. Step 5: Solve for x
   x = 20,208,044,025/96,896.25
6. Step 6: Final answer
   x = 208,553.42