Finding the Third Proportional to 196,578 and 462,068

Step by Step Solution

1. Step 1: Write the proportion equation
   196,578 : 462,068 = 462,068 : x
2. Step 2: Convert to fraction form
   196,578/462,068 = 462,068/x
3. Step 3: Cross multiply
   196,578x = 462,068 × 462,068
4. Step 4: Simplify right side
   196,578x = 213,506,836,624
5. Step 5: Solve for x
   x = 213,506,836,624/196,578
6. Step 6: Final answer
   x = 1,086,117.66