Finding the Third Proportional to 538,378 and 1,182,892

Step by Step Solution

1. Step 1: Write the proportion equation
   538,378 : 1,182,892 = 1,182,892 : x
2. Step 2: Convert to fraction form
   538,378/1,182,892 = 1,182,892/x
3. Step 3: Cross multiply
   538,378x = 1,182,892 × 1,182,892
4. Step 4: Simplify right side
   538,378x = 1,399,233,483,664
5. Step 5: Solve for x
   x = 1,399,233,483,664/538,378
6. Step 6: Final answer
   x = 2,598,979.68