Finding the Third Proportional to 123,529 and 269,362

Step by Step Solution

1. Step 1: Write the proportion equation
   123,529 : 269,362 = 269,362 : x
2. Step 2: Convert to fraction form
   123,529/269,362 = 269,362/x
3. Step 3: Cross multiply
   123,529x = 269,362 × 269,362
4. Step 4: Simplify right side
   123,529x = 72,555,887,044
5. Step 5: Solve for x
   x = 72,555,887,044/123,529
6. Step 6: Final answer
   x = 587,359.14