Finding the Third Proportional to 510,786 and 1,036,164

Step by Step Solution

1. Step 1: Write the proportion equation
   510,786 : 1,036,164 = 1,036,164 : x
2. Step 2: Convert to fraction form
   510,786/1,036,164 = 1,036,164/x
3. Step 3: Cross multiply
   510,786x = 1,036,164 × 1,036,164
4. Step 4: Simplify right side
   510,786x = 1,073,635,834,896
5. Step 5: Solve for x
   x = 1,073,635,834,896/510,786
6. Step 6: Final answer
   x = 2,101,928.86