Finding the Third Proportional to 123,573 and 269,808

Step by Step Solution

1. Step 1: Write the proportion equation
   123,573 : 269,808 = 269,808 : x
2. Step 2: Convert to fraction form
   123,573/269,808 = 269,808/x
3. Step 3: Cross multiply
   123,573x = 269,808 × 269,808
4. Step 4: Simplify right side
   123,573x = 72,796,356,864
5. Step 5: Solve for x
   x = 72,796,356,864/123,573
6. Step 6: Final answer
   x = 589,095.97