Finding the Third Proportional to 512,824 and 1,122,164

Step by Step Solution

1. Step 1: Write the proportion equation
   512,824 : 1,122,164 = 1,122,164 : x
2. Step 2: Convert to fraction form
   512,824/1,122,164 = 1,122,164/x
3. Step 3: Cross multiply
   512,824x = 1,122,164 × 1,122,164
4. Step 4: Simplify right side
   512,824x = 1,259,252,042,896
5. Step 5: Solve for x
   x = 1,259,252,042,896/512,824
6. Step 6: Final answer
   x = 2,455,524.79