Finding the Third Proportional to 538,850 and 898,045

Step by Step Solution

1. Step 1: Write the proportion equation
   538,850 : 898,045 = 898,045 : x
2. Step 2: Convert to fraction form
   538,850/898,045 = 898,045/x
3. Step 3: Cross multiply
   538,850x = 898,045 × 898,045
4. Step 4: Simplify right side
   538,850x = 806,484,822,025
5. Step 5: Solve for x
   x = 806,484,822,025/538,850
6. Step 6: Final answer
   x = 1,496,677.78