Finding the Third Proportional to 174,595.50 and 381,996

Step by Step Solution

1. Step 1: Write the proportion equation
   174,595.50 : 381,996 = 381,996 : x
2. Step 2: Convert to fraction form
   174,595.50/381,996 = 381,996/x
3. Step 3: Cross multiply
   174,595.50x = 381,996 × 381,996
4. Step 4: Simplify right side
   174,595.50x = 145,920,944,016
5. Step 5: Solve for x
   x = 145,920,944,016/174,595.50
6. Step 6: Final answer
   x = 835,765.78