Finding the Third Proportional to 123,526 and 269,356

Step by Step Solution

1. Step 1: Write the proportion equation
   123,526 : 269,356 = 269,356 : x
2. Step 2: Convert to fraction form
   123,526/269,356 = 269,356/x
3. Step 3: Cross multiply
   123,526x = 269,356 × 269,356
4. Step 4: Simplify right side
   123,526x = 72,552,654,736
5. Step 5: Solve for x
   x = 72,552,654,736/123,526
6. Step 6: Final answer
   x = 587,347.24