Finding the Third Proportional to 123,303.25 and 268,947.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,303.25 : 268,947.25 = 268,947.25 : x
2. Step 2: Convert to fraction form
   123,303.25/268,947.25 = 268,947.25/x
3. Step 3: Cross multiply
   123,303.25x = 268,947.25 × 268,947.25
4. Step 4: Simplify right side
   123,303.25x = 72,332,623,282.56
5. Step 5: Solve for x
   x = 72,332,623,282.56/123,303.25
6. Step 6: Final answer
   x = 586,623.82