Finding the Third Proportional to 123,572 and 269,796

Step by Step Solution

1. Step 1: Write the proportion equation
   123,572 : 269,796 = 269,796 : x
2. Step 2: Convert to fraction form
   123,572/269,796 = 269,796/x
3. Step 3: Cross multiply
   123,572x = 269,796 × 269,796
4. Step 4: Simplify right side
   123,572x = 72,789,881,616
5. Step 5: Solve for x
   x = 72,789,881,616/123,572
6. Step 6: Final answer
   x = 589,048.34