Finding the Third Proportional to 174,885 and 362,914

Step by Step Solution

1. Step 1: Write the proportion equation
   174,885 : 362,914 = 362,914 : x
2. Step 2: Convert to fraction form
   174,885/362,914 = 362,914/x
3. Step 3: Cross multiply
   174,885x = 362,914 × 362,914
4. Step 4: Simplify right side
   174,885x = 131,706,571,396
5. Step 5: Solve for x
   x = 131,706,571,396/174,885
6. Step 6: Final answer
   x = 753,103.88