Finding the Third Proportional to 213,113 and 462,109

Step by Step Solution

1. Step 1: Write the proportion equation
   213,113 : 462,109 = 462,109 : x
2. Step 2: Convert to fraction form
   213,113/462,109 = 462,109/x
3. Step 3: Cross multiply
   213,113x = 462,109 × 462,109
4. Step 4: Simplify right side
   213,113x = 213,544,727,881
5. Step 5: Solve for x
   x = 213,544,727,881/213,113
6. Step 6: Final answer
   x = 1,002,025.82