Finding the Third Proportional to 123,438 and 269,172

Step by Step Solution

1. Step 1: Write the proportion equation
   123,438 : 269,172 = 269,172 : x
2. Step 2: Convert to fraction form
   123,438/269,172 = 269,172/x
3. Step 3: Cross multiply
   123,438x = 269,172 × 269,172
4. Step 4: Simplify right side
   123,438x = 72,453,565,584
5. Step 5: Solve for x
   x = 72,453,565,584/123,438
6. Step 6: Final answer
   x = 586,963.22