Finding the Third Proportional to 538,603 and 835,123

Step by Step Solution

1. Step 1: Write the proportion equation
   538,603 : 835,123 = 835,123 : x
2. Step 2: Convert to fraction form
   538,603/835,123 = 835,123/x
3. Step 3: Cross multiply
   538,603x = 835,123 × 835,123
4. Step 4: Simplify right side
   538,603x = 697,430,425,129
5. Step 5: Solve for x
   x = 697,430,425,129/538,603
6. Step 6: Final answer
   x = 1,294,887.75