Finding the Third Proportional to 512,838 and 1,114,128

Step by Step Solution

1. Step 1: Write the proportion equation
   512,838 : 1,114,128 = 1,114,128 : x
2. Step 2: Convert to fraction form
   512,838/1,114,128 = 1,114,128/x
3. Step 3: Cross multiply
   512,838x = 1,114,128 × 1,114,128
4. Step 4: Simplify right side
   512,838x = 1,241,281,200,384
5. Step 5: Solve for x
   x = 1,241,281,200,384/512,838
6. Step 6: Final answer
   x = 2,420,415.80