Finding the Third Proportional to 176,874 and 384,852

Step by Step Solution

1. Step 1: Write the proportion equation
   176,874 : 384,852 = 384,852 : x
2. Step 2: Convert to fraction form
   176,874/384,852 = 384,852/x
3. Step 3: Cross multiply
   176,874x = 384,852 × 384,852
4. Step 4: Simplify right side
   176,874x = 148,111,061,904
5. Step 5: Solve for x
   x = 148,111,061,904/176,874
6. Step 6: Final answer
   x = 837,381.76