Finding the Third Proportional to 197,926 and 466,762

Step by Step Solution

1. Step 1: Write the proportion equation
   197,926 : 466,762 = 466,762 : x
2. Step 2: Convert to fraction form
   197,926/466,762 = 466,762/x
3. Step 3: Cross multiply
   197,926x = 466,762 × 466,762
4. Step 4: Simplify right side
   197,926x = 217,866,764,644
5. Step 5: Solve for x
   x = 217,866,764,644/197,926
6. Step 6: Final answer
   x = 1,100,748.59