Finding the Third Proportional to 213,674 and 467,038

Step by Step Solution

1. Step 1: Write the proportion equation
   213,674 : 467,038 = 467,038 : x
2. Step 2: Convert to fraction form
   213,674/467,038 = 467,038/x
3. Step 3: Cross multiply
   213,674x = 467,038 × 467,038
4. Step 4: Simplify right side
   213,674x = 218,124,493,444
5. Step 5: Solve for x
   x = 218,124,493,444/213,674
6. Step 6: Final answer
   x = 1,020,828.43