Finding the Third Proportional to 123,264 and 196,560

Step by Step Solution

1. Step 1: Write the proportion equation
   123,264 : 196,560 = 196,560 : x
2. Step 2: Convert to fraction form
   123,264/196,560 = 196,560/x
3. Step 3: Cross multiply
   123,264x = 196,560 × 196,560
4. Step 4: Simplify right side
   123,264x = 38,635,833,600
5. Step 5: Solve for x
   x = 38,635,833,600/123,264
6. Step 6: Final answer
   x = 313,439.72