Finding the Third Proportional to 869,775 and 1,764,006

Step by Step Solution

1. Step 1: Write the proportion equation
   869,775 : 1,764,006 = 1,764,006 : x
2. Step 2: Convert to fraction form
   869,775/1,764,006 = 1,764,006/x
3. Step 3: Cross multiply
   869,775x = 1,764,006 × 1,764,006
4. Step 4: Simplify right side
   869,775x = 3,111,717,168,036
5. Step 5: Solve for x
   x = 3,111,717,168,036/869,775
6. Step 6: Final answer
   x = 3,577,611.64