Finding the Third Proportional to 123,632 and 269,913

Step by Step Solution

1. Step 1: Write the proportion equation
   123,632 : 269,913 = 269,913 : x
2. Step 2: Convert to fraction form
   123,632/269,913 = 269,913/x
3. Step 3: Cross multiply
   123,632x = 269,913 × 269,913
4. Step 4: Simplify right side
   123,632x = 72,853,027,569
5. Step 5: Solve for x
   x = 72,853,027,569/123,632
6. Step 6: Final answer
   x = 589,273.23