Finding the Third Proportional to 123,589.50 and 269,832

Step by Step Solution

1. Step 1: Write the proportion equation
   123,589.50 : 269,832 = 269,832 : x
2. Step 2: Convert to fraction form
   123,589.50/269,832 = 269,832/x
3. Step 3: Cross multiply
   123,589.50x = 269,832 × 269,832
4. Step 4: Simplify right side
   123,589.50x = 72,809,308,224
5. Step 5: Solve for x
   x = 72,809,308,224/123,589.50
6. Step 6: Final answer
   x = 589,122.12