Finding the Third Proportional to 174,852 and 384,696

Step by Step Solution

1. Step 1: Write the proportion equation
   174,852 : 384,696 = 384,696 : x
2. Step 2: Convert to fraction form
   174,852/384,696 = 384,696/x
3. Step 3: Cross multiply
   174,852x = 384,696 × 384,696
4. Step 4: Simplify right side
   174,852x = 147,991,012,416
5. Step 5: Solve for x
   x = 147,991,012,416/174,852
6. Step 6: Final answer
   x = 846,378.72