Finding the Third Proportional to 825,120 and 1,784,952

Step by Step Solution

1. Step 1: Write the proportion equation
   825,120 : 1,784,952 = 1,784,952 : x
2. Step 2: Convert to fraction form
   825,120/1,784,952 = 1,784,952/x
3. Step 3: Cross multiply
   825,120x = 1,784,952 × 1,784,952
4. Step 4: Simplify right side
   825,120x = 3,186,053,642,304
5. Step 5: Solve for x
   x = 3,186,053,642,304/825,120
6. Step 6: Final answer
   x = 3,861,321.56