Finding the Third Proportional to 123,712 and 269,888

Step by Step Solution

1. Step 1: Write the proportion equation
   123,712 : 269,888 = 269,888 : x
2. Step 2: Convert to fraction form
   123,712/269,888 = 269,888/x
3. Step 3: Cross multiply
   123,712x = 269,888 × 269,888
4. Step 4: Simplify right side
   123,712x = 72,839,532,544
5. Step 5: Solve for x
   x = 72,839,532,544/123,712
6. Step 6: Final answer
   x = 588,783.08