Finding the Third Proportional to 676,901 and 1,470,513

Step by Step Solution

1. Step 1: Write the proportion equation
   676,901 : 1,470,513 = 1,470,513 : x
2. Step 2: Convert to fraction form
   676,901/1,470,513 = 1,470,513/x
3. Step 3: Cross multiply
   676,901x = 1,470,513 × 1,470,513
4. Step 4: Simplify right side
   676,901x = 2,162,408,483,169
5. Step 5: Solve for x
   x = 2,162,408,483,169/676,901
6. Step 6: Final answer
   x = 3,194,571.26