Finding the Third Proportional to 158,561 and 245,564

Step by Step Solution

1. Step 1: Write the proportion equation
   158,561 : 245,564 = 245,564 : x
2. Step 2: Convert to fraction form
   158,561/245,564 = 245,564/x
3. Step 3: Cross multiply
   158,561x = 245,564 × 245,564
4. Step 4: Simplify right side
   158,561x = 60,301,678,096
5. Step 5: Solve for x
   x = 60,301,678,096/158,561
6. Step 6: Final answer
   x = 380,305.86