Finding the Third Proportional to 96,933 and 142,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,933 : 142,204.50 = 142,204.50 : x
2. Step 2: Convert to fraction form
   96,933/142,204.50 = 142,204.50/x
3. Step 3: Cross multiply
   96,933x = 142,204.50 × 142,204.50
4. Step 4: Simplify right side
   96,933x = 20,222,119,820.25
5. Step 5: Solve for x
   x = 20,222,119,820.25/96,933
6. Step 6: Final answer
   x = 208,619.56