Finding the Third Proportional to 123,848 and 263,680

Step by Step Solution

1. Step 1: Write the proportion equation
   123,848 : 263,680 = 263,680 : x
2. Step 2: Convert to fraction form
   123,848/263,680 = 263,680/x
3. Step 3: Cross multiply
   123,848x = 263,680 × 263,680
4. Step 4: Simplify right side
   123,848x = 69,527,142,400
5. Step 5: Solve for x
   x = 69,527,142,400/123,848
6. Step 6: Final answer
   x = 561,390.92