Finding the Third Proportional to 123,692 and 269,464

Step by Step Solution

1. Step 1: Write the proportion equation
   123,692 : 269,464 = 269,464 : x
2. Step 2: Convert to fraction form
   123,692/269,464 = 269,464/x
3. Step 3: Cross multiply
   123,692x = 269,464 × 269,464
4. Step 4: Simplify right side
   123,692x = 72,610,847,296
5. Step 5: Solve for x
   x = 72,610,847,296/123,692
6. Step 6: Final answer
   x = 587,029.45