Finding the Third Proportional to 45,270 and 99,564

Step by Step Solution

1. Step 1: Write the proportion equation
   45,270 : 99,564 = 99,564 : x
2. Step 2: Convert to fraction form
   45,270/99,564 = 99,564/x
3. Step 3: Cross multiply
   45,270x = 99,564 × 99,564
4. Step 4: Simplify right side
   45,270x = 9,912,990,096
5. Step 5: Solve for x
   x = 9,912,990,096/45,270
6. Step 6: Final answer
   x = 218,974.82