Finding the Third Proportional to 96,608 and 142,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,608 : 142,113.50 = 142,113.50 : x
2. Step 2: Convert to fraction form
   96,608/142,113.50 = 142,113.50/x
3. Step 3: Cross multiply
   96,608x = 142,113.50 × 142,113.50
4. Step 4: Simplify right side
   96,608x = 20,196,246,882.25
5. Step 5: Solve for x
   x = 20,196,246,882.25/96,608
6. Step 6: Final answer
   x = 209,053.57