Finding the Third Proportional to 100,404 and 218,298

Step by Step Solution

1. Step 1: Write the proportion equation
   100,404 : 218,298 = 218,298 : x
2. Step 2: Convert to fraction form
   100,404/218,298 = 218,298/x
3. Step 3: Cross multiply
   100,404x = 218,298 × 218,298
4. Step 4: Simplify right side
   100,404x = 47,654,016,804
5. Step 5: Solve for x
   x = 47,654,016,804/100,404
6. Step 6: Final answer
   x = 474,622.69