Finding the Third Proportional to 123,584.50 and 269,822

Step by Step Solution

1. Step 1: Write the proportion equation
   123,584.50 : 269,822 = 269,822 : x
2. Step 2: Convert to fraction form
   123,584.50/269,822 = 269,822/x
3. Step 3: Cross multiply
   123,584.50x = 269,822 × 269,822
4. Step 4: Simplify right side
   123,584.50x = 72,803,911,684
5. Step 5: Solve for x
   x = 72,803,911,684/123,584.50
6. Step 6: Final answer
   x = 589,102.29