Finding the Third Proportional to 123,670 and 269,264

Step by Step Solution

1. Step 1: Write the proportion equation
   123,670 : 269,264 = 269,264 : x
2. Step 2: Convert to fraction form
   123,670/269,264 = 269,264/x
3. Step 3: Cross multiply
   123,670x = 269,264 × 269,264
4. Step 4: Simplify right side
   123,670x = 72,503,101,696
5. Step 5: Solve for x
   x = 72,503,101,696/123,670
6. Step 6: Final answer
   x = 586,262.65