Finding the Third Proportional to 96,408 and 207,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,408 : 207,619.50 = 207,619.50 : x
2. Step 2: Convert to fraction form
   96,408/207,619.50 = 207,619.50/x
3. Step 3: Cross multiply
   96,408x = 207,619.50 × 207,619.50
4. Step 4: Simplify right side
   96,408x = 43,105,856,780.25
5. Step 5: Solve for x
   x = 43,105,856,780.25/96,408
6. Step 6: Final answer
   x = 447,119.09