Finding the Third Proportional to 223,426 and 462,404

Step by Step Solution

1. Step 1: Write the proportion equation
   223,426 : 462,404 = 462,404 : x
2. Step 2: Convert to fraction form
   223,426/462,404 = 462,404/x
3. Step 3: Cross multiply
   223,426x = 462,404 × 462,404
4. Step 4: Simplify right side
   223,426x = 213,817,459,216
5. Step 5: Solve for x
   x = 213,817,459,216/223,426
6. Step 6: Final answer
   x = 956,994.53