Finding the Third Proportional to 146,538 and 228,556.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,538 : 228,556.50 = 228,556.50 : x
2. Step 2: Convert to fraction form
   146,538/228,556.50 = 228,556.50/x
3. Step 3: Cross multiply
   146,538x = 228,556.50 × 228,556.50
4. Step 4: Simplify right side
   146,538x = 52,238,073,692.25
5. Step 5: Solve for x
   x = 52,238,073,692.25/146,538
6. Step 6: Final answer
   x = 356,481.42