Finding the Third Proportional to 826,388 and 1,263,327

Step by Step Solution

1. Step 1: Write the proportion equation
   826,388 : 1,263,327 = 1,263,327 : x
2. Step 2: Convert to fraction form
   826,388/1,263,327 = 1,263,327/x
3. Step 3: Cross multiply
   826,388x = 1,263,327 × 1,263,327
4. Step 4: Simplify right side
   826,388x = 1,595,995,108,929
5. Step 5: Solve for x
   x = 1,595,995,108,929/826,388
6. Step 6: Final answer
   x = 1,931,290.28