Finding the Third Proportional to 814,214 and 1,736,635

Step by Step Solution

1. Step 1: Write the proportion equation
   814,214 : 1,736,635 = 1,736,635 : x
2. Step 2: Convert to fraction form
   814,214/1,736,635 = 1,736,635/x
3. Step 3: Cross multiply
   814,214x = 1,736,635 × 1,736,635
4. Step 4: Simplify right side
   814,214x = 3,015,901,123,225
5. Step 5: Solve for x
   x = 3,015,901,123,225/814,214
6. Step 6: Final answer
   x = 3,704,064.44