Finding the Third Proportional to 196,593 and 298,538

Step by Step Solution

1. Step 1: Write the proportion equation
   196,593 : 298,538 = 298,538 : x
2. Step 2: Convert to fraction form
   196,593/298,538 = 298,538/x
3. Step 3: Cross multiply
   196,593x = 298,538 × 298,538
4. Step 4: Simplify right side
   196,593x = 89,124,937,444
5. Step 5: Solve for x
   x = 89,124,937,444/196,593
6. Step 6: Final answer
   x = 453,347.46