Finding the Third Proportional to 827,820 and 1,269,069

Step by Step Solution

1. Step 1: Write the proportion equation
   827,820 : 1,269,069 = 1,269,069 : x
2. Step 2: Convert to fraction form
   827,820/1,269,069 = 1,269,069/x
3. Step 3: Cross multiply
   827,820x = 1,269,069 × 1,269,069
4. Step 4: Simplify right side
   827,820x = 1,610,536,126,761
5. Step 5: Solve for x
   x = 1,610,536,126,761/827,820
6. Step 6: Final answer
   x = 1,945,514.88