Finding the Third Proportional to 232,738 and 355,870

Step by Step Solution

1. Step 1: Write the proportion equation
   232,738 : 355,870 = 355,870 : x
2. Step 2: Convert to fraction form
   232,738/355,870 = 355,870/x
3. Step 3: Cross multiply
   232,738x = 355,870 × 355,870
4. Step 4: Simplify right side
   232,738x = 126,643,456,900
5. Step 5: Solve for x
   x = 126,643,456,900/232,738
6. Step 6: Final answer
   x = 544,146.02