Finding the Third Proportional to 197,926 and 466,758

Step by Step Solution

1. Step 1: Write the proportion equation
   197,926 : 466,758 = 466,758 : x
2. Step 2: Convert to fraction form
   197,926/466,758 = 466,758/x
3. Step 3: Cross multiply
   197,926x = 466,758 × 466,758
4. Step 4: Simplify right side
   197,926x = 217,863,030,564
5. Step 5: Solve for x
   x = 217,863,030,564/197,926
6. Step 6: Final answer
   x = 1,100,729.72