Finding the Third Proportional to 174,874 and 384,740

Step by Step Solution

1. Step 1: Write the proportion equation
   174,874 : 384,740 = 384,740 : x
2. Step 2: Convert to fraction form
   174,874/384,740 = 384,740/x
3. Step 3: Cross multiply
   174,874x = 384,740 × 384,740
4. Step 4: Simplify right side
   174,874x = 148,024,867,600
5. Step 5: Solve for x
   x = 148,024,867,600/174,874
6. Step 6: Final answer
   x = 846,465.84