Finding the Third Proportional to 174,424 and 263,003

Step by Step Solution

1. Step 1: Write the proportion equation
   174,424 : 263,003 = 263,003 : x
2. Step 2: Convert to fraction form
   174,424/263,003 = 263,003/x
3. Step 3: Cross multiply
   174,424x = 263,003 × 263,003
4. Step 4: Simplify right side
   174,424x = 69,170,578,009
5. Step 5: Solve for x
   x = 69,170,578,009/174,424
6. Step 6: Final answer
   x = 396,565.71