Finding the Third Proportional to 123,700 and 269,864

Step by Step Solution

1. Step 1: Write the proportion equation
   123,700 : 269,864 = 269,864 : x
2. Step 2: Convert to fraction form
   123,700/269,864 = 269,864/x
3. Step 3: Cross multiply
   123,700x = 269,864 × 269,864
4. Step 4: Simplify right side
   123,700x = 72,826,578,496
5. Step 5: Solve for x
   x = 72,826,578,496/123,700
6. Step 6: Final answer
   x = 588,735.48