Finding the Third Proportional to 155,648 and 231,204

Step by Step Solution

1. Step 1: Write the proportion equation
   155,648 : 231,204 = 231,204 : x
2. Step 2: Convert to fraction form
   155,648/231,204 = 231,204/x
3. Step 3: Cross multiply
   155,648x = 231,204 × 231,204
4. Step 4: Simplify right side
   155,648x = 53,455,289,616
5. Step 5: Solve for x
   x = 53,455,289,616/155,648
6. Step 6: Final answer
   x = 343,437.05