Finding the Third Proportional to 1,077,761 and 1,569,256

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077,761 : 1,569,256 = 1,569,256 : x
2. Step 2: Convert to fraction form
   1,077,761/1,569,256 = 1,569,256/x
3. Step 3: Cross multiply
   1,077,761x = 1,569,256 × 1,569,256
4. Step 4: Simplify right side
   1,077,761x = 2,462,564,393,536
5. Step 5: Solve for x
   x = 2,462,564,393,536/1,077,761
6. Step 6: Final answer
   x = 2,284,889.13