Finding the Third Proportional to 174,852 and 410,562

Step by Step Solution

1. Step 1: Write the proportion equation
   174,852 : 410,562 = 410,562 : x
2. Step 2: Convert to fraction form
   174,852/410,562 = 410,562/x
3. Step 3: Cross multiply
   174,852x = 410,562 × 410,562
4. Step 4: Simplify right side
   174,852x = 168,561,155,844
5. Step 5: Solve for x
   x = 168,561,155,844/174,852
6. Step 6: Final answer
   x = 964,021.89