Finding the Third Proportional to 96,978.50 and 205,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,978.50 : 205,617.50 = 205,617.50 : x
2. Step 2: Convert to fraction form
   96,978.50/205,617.50 = 205,617.50/x
3. Step 3: Cross multiply
   96,978.50x = 205,617.50 × 205,617.50
4. Step 4: Simplify right side
   96,978.50x = 42,278,556,306.25
5. Step 5: Solve for x
   x = 42,278,556,306.25/96,978.50
6. Step 6: Final answer
   x = 435,958.04