Finding the Third Proportional to 123,966 and 268,536

Step by Step Solution

1. Step 1: Write the proportion equation
   123,966 : 268,536 = 268,536 : x
2. Step 2: Convert to fraction form
   123,966/268,536 = 268,536/x
3. Step 3: Cross multiply
   123,966x = 268,536 × 268,536
4. Step 4: Simplify right side
   123,966x = 72,111,583,296
5. Step 5: Solve for x
   x = 72,111,583,296/123,966
6. Step 6: Final answer
   x = 581,704.53