Finding the Third Proportional to 213,806 and 467,708

Step by Step Solution

1. Step 1: Write the proportion equation
   213,806 : 467,708 = 467,708 : x
2. Step 2: Convert to fraction form
   213,806/467,708 = 467,708/x
3. Step 3: Cross multiply
   213,806x = 467,708 × 467,708
4. Step 4: Simplify right side
   213,806x = 218,750,773,264
5. Step 5: Solve for x
   x = 218,750,773,264/213,806
6. Step 6: Final answer
   x = 1,023,127.38