Finding the Third Proportional to 825,424 and 1,085,427

Step by Step Solution

1. Step 1: Write the proportion equation
   825,424 : 1,085,427 = 1,085,427 : x
2. Step 2: Convert to fraction form
   825,424/1,085,427 = 1,085,427/x
3. Step 3: Cross multiply
   825,424x = 1,085,427 × 1,085,427
4. Step 4: Simplify right side
   825,424x = 1,178,151,772,329
5. Step 5: Solve for x
   x = 1,178,151,772,329/825,424
6. Step 6: Final answer
   x = 1,427,329.19