Finding the Third Proportional to 96,976.69 and 205,615.69

Step by Step Solution

1. Step 1: Write the proportion equation
   96,976.69 : 205,615.69 = 205,615.69 : x
2. Step 2: Convert to fraction form
   96,976.69/205,615.69 = 205,615.69/x
3. Step 3: Cross multiply
   96,976.69x = 205,615.69 × 205,615.69
4. Step 4: Simplify right side
   96,976.69x = 42,277,810,946.10
5. Step 5: Solve for x
   x = 42,277,810,946.10/96,976.69
6. Step 6: Final answer
   x = 435,958.50