Finding the Third Proportional to 195,912 and 435,600

Step by Step Solution

1. Step 1: Write the proportion equation
   195,912 : 435,600 = 435,600 : x
2. Step 2: Convert to fraction form
   195,912/435,600 = 435,600/x
3. Step 3: Cross multiply
   195,912x = 435,600 × 435,600
4. Step 4: Simplify right side
   195,912x = 189,747,360,000
5. Step 5: Solve for x
   x = 189,747,360,000/195,912
6. Step 6: Final answer
   x = 968,533.63