Finding the Third Proportional to 1,022,166 and 1,575,896

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022,166 : 1,575,896 = 1,575,896 : x
2. Step 2: Convert to fraction form
   1,022,166/1,575,896 = 1,575,896/x
3. Step 3: Cross multiply
   1,022,166x = 1,575,896 × 1,575,896
4. Step 4: Simplify right side
   1,022,166x = 2,483,448,202,816
5. Step 5: Solve for x
   x = 2,483,448,202,816/1,022,166
6. Step 6: Final answer
   x = 2,429,593.83