Finding the Third Proportional to 45,770 and 100,288

Step by Step Solution

1. Step 1: Write the proportion equation
   45,770 : 100,288 = 100,288 : x
2. Step 2: Convert to fraction form
   45,770/100,288 = 100,288/x
3. Step 3: Cross multiply
   45,770x = 100,288 × 100,288
4. Step 4: Simplify right side
   45,770x = 10,057,682,944
5. Step 5: Solve for x
   x = 10,057,682,944/45,770
6. Step 6: Final answer
   x = 219,744.00