Finding the Third Proportional to 512,648 and 1,101,184

Step by Step Solution

1. Step 1: Write the proportion equation
   512,648 : 1,101,184 = 1,101,184 : x
2. Step 2: Convert to fraction form
   512,648/1,101,184 = 1,101,184/x
3. Step 3: Cross multiply
   512,648x = 1,101,184 × 1,101,184
4. Step 4: Simplify right side
   512,648x = 1,212,606,201,856
5. Step 5: Solve for x
   x = 1,212,606,201,856/512,648
6. Step 6: Final answer
   x = 2,365,377.81