Finding the Third Proportional to 317,186 and 463,870

Step by Step Solution

1. Step 1: Write the proportion equation
   317,186 : 463,870 = 463,870 : x
2. Step 2: Convert to fraction form
   317,186/463,870 = 463,870/x
3. Step 3: Cross multiply
   317,186x = 463,870 × 463,870
4. Step 4: Simplify right side
   317,186x = 215,175,376,900
5. Step 5: Solve for x
   x = 215,175,376,900/317,186
6. Step 6: Final answer
   x = 678,388.63