Finding the Third Proportional to 197,864 and 466,614

Step by Step Solution

1. Step 1: Write the proportion equation
   197,864 : 466,614 = 466,614 : x
2. Step 2: Convert to fraction form
   197,864/466,614 = 466,614/x
3. Step 3: Cross multiply
   197,864x = 466,614 × 466,614
4. Step 4: Simplify right side
   197,864x = 217,728,624,996
5. Step 5: Solve for x
   x = 217,728,624,996/197,864
6. Step 6: Final answer
   x = 1,100,395.35