Finding the Third Proportional to 147,540 and 223,538

Step by Step Solution

1. Step 1: Write the proportion equation
   147,540 : 223,538 = 223,538 : x
2. Step 2: Convert to fraction form
   147,540/223,538 = 223,538/x
3. Step 3: Cross multiply
   147,540x = 223,538 × 223,538
4. Step 4: Simplify right side
   147,540x = 49,969,237,444
5. Step 5: Solve for x
   x = 49,969,237,444/147,540
6. Step 6: Final answer
   x = 338,682.65