Finding the Third Proportional to 123,972 and 268,545

Step by Step Solution

1. Step 1: Write the proportion equation
   123,972 : 268,545 = 268,545 : x
2. Step 2: Convert to fraction form
   123,972/268,545 = 268,545/x
3. Step 3: Cross multiply
   123,972x = 268,545 × 268,545
4. Step 4: Simplify right side
   123,972x = 72,116,417,025
5. Step 5: Solve for x
   x = 72,116,417,025/123,972
6. Step 6: Final answer
   x = 581,715.36