Finding the Third Proportional to 218,904 and 471,984

Step by Step Solution

1. Step 1: Write the proportion equation
   218,904 : 471,984 = 471,984 : x
2. Step 2: Convert to fraction form
   218,904/471,984 = 471,984/x
3. Step 3: Cross multiply
   218,904x = 471,984 × 471,984
4. Step 4: Simplify right side
   218,904x = 222,768,896,256
5. Step 5: Solve for x
   x = 222,768,896,256/218,904
6. Step 6: Final answer
   x = 1,017,655.67