Finding the Third Proportional to 1,013,784 and 1,417,338

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013,784 : 1,417,338 = 1,417,338 : x
2. Step 2: Convert to fraction form
   1,013,784/1,417,338 = 1,417,338/x
3. Step 3: Cross multiply
   1,013,784x = 1,417,338 × 1,417,338
4. Step 4: Simplify right side
   1,013,784x = 2,008,847,006,244
5. Step 5: Solve for x
   x = 2,008,847,006,244/1,013,784
6. Step 6: Final answer
   x = 1,981,533.55