Finding the Third Proportional to 1,013,709 and 1,417,224

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013,709 : 1,417,224 = 1,417,224 : x
2. Step 2: Convert to fraction form
   1,013,709/1,417,224 = 1,417,224/x
3. Step 3: Cross multiply
   1,013,709x = 1,417,224 × 1,417,224
4. Step 4: Simplify right side
   1,013,709x = 2,008,523,866,176
5. Step 5: Solve for x
   x = 2,008,523,866,176/1,013,709
6. Step 6: Final answer
   x = 1,981,361.38