Finding the Third Proportional to 826,494 and 1,264,221

Step by Step Solution

1. Step 1: Write the proportion equation
   826,494 : 1,264,221 = 1,264,221 : x
2. Step 2: Convert to fraction form
   826,494/1,264,221 = 1,264,221/x
3. Step 3: Cross multiply
   826,494x = 1,264,221 × 1,264,221
4. Step 4: Simplify right side
   826,494x = 1,598,254,736,841
5. Step 5: Solve for x
   x = 1,598,254,736,841/826,494
6. Step 6: Final answer
   x = 1,933,776.58