Finding the Third Proportional to 96,313.50 and 141,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,313.50 : 141,682.50 = 141,682.50 : x
2. Step 2: Convert to fraction form
   96,313.50/141,682.50 = 141,682.50/x
3. Step 3: Cross multiply
   96,313.50x = 141,682.50 × 141,682.50
4. Step 4: Simplify right side
   96,313.50x = 20,073,930,806.25
5. Step 5: Solve for x
   x = 20,073,930,806.25/96,313.50
6. Step 6: Final answer
   x = 208,422.82