Finding the Third Proportional to 196,575.75 and 462,096

Step by Step Solution

1. Step 1: Write the proportion equation
   196,575.75 : 462,096 = 462,096 : x
2. Step 2: Convert to fraction form
   196,575.75/462,096 = 462,096/x
3. Step 3: Cross multiply
   196,575.75x = 462,096 × 462,096
4. Step 4: Simplify right side
   196,575.75x = 213,532,713,216
5. Step 5: Solve for x
   x = 213,532,713,216/196,575.75
6. Step 6: Final answer
   x = 1,086,261.72