Finding the Third Proportional to 825,788 and 1,263,365

Step by Step Solution

1. Step 1: Write the proportion equation
   825,788 : 1,263,365 = 1,263,365 : x
2. Step 2: Convert to fraction form
   825,788/1,263,365 = 1,263,365/x
3. Step 3: Cross multiply
   825,788x = 1,263,365 × 1,263,365
4. Step 4: Simplify right side
   825,788x = 1,596,091,123,225
5. Step 5: Solve for x
   x = 1,596,091,123,225/825,788
6. Step 6: Final answer
   x = 1,932,809.78