Finding the Third Proportional to 158,609 and 231,584

Step by Step Solution

1. Step 1: Write the proportion equation
   158,609 : 231,584 = 231,584 : x
2. Step 2: Convert to fraction form
   158,609/231,584 = 231,584/x
3. Step 3: Cross multiply
   158,609x = 231,584 × 231,584
4. Step 4: Simplify right side
   158,609x = 53,631,149,056
5. Step 5: Solve for x
   x = 53,631,149,056/158,609
6. Step 6: Final answer
   x = 338,134.34