Finding the Third Proportional to 538,851 and 898,047

Step by Step Solution

1. Step 1: Write the proportion equation
   538,851 : 898,047 = 898,047 : x
2. Step 2: Convert to fraction form
   538,851/898,047 = 898,047/x
3. Step 3: Cross multiply
   538,851x = 898,047 × 898,047
4. Step 4: Simplify right side
   538,851x = 806,488,414,209
5. Step 5: Solve for x
   x = 806,488,414,209/538,851
6. Step 6: Final answer
   x = 1,496,681.67