Finding the Third Proportional to 123,134 and 269,623

Step by Step Solution

1. Step 1: Write the proportion equation
   123,134 : 269,623 = 269,623 : x
2. Step 2: Convert to fraction form
   123,134/269,623 = 269,623/x
3. Step 3: Cross multiply
   123,134x = 269,623 × 269,623
4. Step 4: Simplify right side
   123,134x = 72,696,562,129
5. Step 5: Solve for x
   x = 72,696,562,129/123,134
6. Step 6: Final answer
   x = 590,385.78