Finding the Third Proportional to 96,493.50 and 225,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,493.50 : 225,499.50 = 225,499.50 : x
2. Step 2: Convert to fraction form
   96,493.50/225,499.50 = 225,499.50/x
3. Step 3: Cross multiply
   96,493.50x = 225,499.50 × 225,499.50
4. Step 4: Simplify right side
   96,493.50x = 50,850,024,500.25
5. Step 5: Solve for x
   x = 50,850,024,500.25/96,493.50
6. Step 6: Final answer
   x = 526,978.76