Finding the Third Proportional to 498,846 and 1,077,564

Step by Step Solution

1. Step 1: Write the proportion equation
   498,846 : 1,077,564 = 1,077,564 : x
2. Step 2: Convert to fraction form
   498,846/1,077,564 = 1,077,564/x
3. Step 3: Cross multiply
   498,846x = 1,077,564 × 1,077,564
4. Step 4: Simplify right side
   498,846x = 1,161,144,174,096
5. Step 5: Solve for x
   x = 1,161,144,174,096/498,846
6. Step 6: Final answer
   x = 2,327,660.59