Finding the Third Proportional to 1,002,166 and 1,361,565

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002,166 : 1,361,565 = 1,361,565 : x
2. Step 2: Convert to fraction form
   1,002,166/1,361,565 = 1,361,565/x
3. Step 3: Cross multiply
   1,002,166x = 1,361,565 × 1,361,565
4. Step 4: Simplify right side
   1,002,166x = 1,853,859,249,225
5. Step 5: Solve for x
   x = 1,853,859,249,225/1,002,166
6. Step 6: Final answer
   x = 1,849,852.47