Finding the Third Proportional to 419,624 and 898,146

Step by Step Solution

1. Step 1: Write the proportion equation
   419,624 : 898,146 = 898,146 : x
2. Step 2: Convert to fraction form
   419,624/898,146 = 898,146/x
3. Step 3: Cross multiply
   419,624x = 898,146 × 898,146
4. Step 4: Simplify right side
   419,624x = 806,666,237,316
5. Step 5: Solve for x
   x = 806,666,237,316/419,624
6. Step 6: Final answer
   x = 1,922,354.86