Finding the Third Proportional to 511,320 and 1,088,256

Step by Step Solution

1. Step 1: Write the proportion equation
   511,320 : 1,088,256 = 1,088,256 : x
2. Step 2: Convert to fraction form
   511,320/1,088,256 = 1,088,256/x
3. Step 3: Cross multiply
   511,320x = 1,088,256 × 1,088,256
4. Step 4: Simplify right side
   511,320x = 1,184,301,121,536
5. Step 5: Solve for x
   x = 1,184,301,121,536/511,320
6. Step 6: Final answer
   x = 2,316,164.28