Finding the Third Proportional to 123,350 and 269,526

Step by Step Solution

1. Step 1: Write the proportion equation
   123,350 : 269,526 = 269,526 : x
2. Step 2: Convert to fraction form
   123,350/269,526 = 269,526/x
3. Step 3: Cross multiply
   123,350x = 269,526 × 269,526
4. Step 4: Simplify right side
   123,350x = 72,644,264,676
5. Step 5: Solve for x
   x = 72,644,264,676/123,350
6. Step 6: Final answer
   x = 588,927.97