Finding the Third Proportional to 213,404 and 466,984

Step by Step Solution

1. Step 1: Write the proportion equation
   213,404 : 466,984 = 466,984 : x
2. Step 2: Convert to fraction form
   213,404/466,984 = 466,984/x
3. Step 3: Cross multiply
   213,404x = 466,984 × 466,984
4. Step 4: Simplify right side
   213,404x = 218,074,056,256
5. Step 5: Solve for x
   x = 218,074,056,256/213,404
6. Step 6: Final answer
   x = 1,021,883.64