Finding the Third Proportional to 96,099 and 229,519.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,099 : 229,519.50 = 229,519.50 : x
2. Step 2: Convert to fraction form
   96,099/229,519.50 = 229,519.50/x
3. Step 3: Cross multiply
   96,099x = 229,519.50 × 229,519.50
4. Step 4: Simplify right side
   96,099x = 52,679,200,880.25
5. Step 5: Solve for x
   x = 52,679,200,880.25/96,099
6. Step 6: Final answer
   x = 548,176.37