Finding the Third Proportional to 196,128 and 423,360

Step by Step Solution

1. Step 1: Write the proportion equation
   196,128 : 423,360 = 423,360 : x
2. Step 2: Convert to fraction form
   196,128/423,360 = 423,360/x
3. Step 3: Cross multiply
   196,128x = 423,360 × 423,360
4. Step 4: Simplify right side
   196,128x = 179,233,689,600
5. Step 5: Solve for x
   x = 179,233,689,600/196,128
6. Step 6: Final answer
   x = 913,860.79