Finding the Third Proportional to 174,872 and 384,736

Step by Step Solution

1. Step 1: Write the proportion equation
   174,872 : 384,736 = 384,736 : x
2. Step 2: Convert to fraction form
   174,872/384,736 = 384,736/x
3. Step 3: Cross multiply
   174,872x = 384,736 × 384,736
4. Step 4: Simplify right side
   174,872x = 148,021,789,696
5. Step 5: Solve for x
   x = 148,021,789,696/174,872
6. Step 6: Final answer
   x = 846,457.92