Finding the Third Proportional to 96,915 and 141,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,915 : 141,538.50 = 141,538.50 : x
2. Step 2: Convert to fraction form
   96,915/141,538.50 = 141,538.50/x
3. Step 3: Cross multiply
   96,915x = 141,538.50 × 141,538.50
4. Step 4: Simplify right side
   96,915x = 20,033,146,982.25
5. Step 5: Solve for x
   x = 20,033,146,982.25/96,915
6. Step 6: Final answer
   x = 206,708.42