Finding the Third Proportional to 197,744 and 466,596

Step by Step Solution

1. Step 1: Write the proportion equation
   197,744 : 466,596 = 466,596 : x
2. Step 2: Convert to fraction form
   197,744/466,596 = 466,596/x
3. Step 3: Cross multiply
   197,744x = 466,596 × 466,596
4. Step 4: Simplify right side
   197,744x = 217,711,827,216
5. Step 5: Solve for x
   x = 217,711,827,216/197,744
6. Step 6: Final answer
   x = 1,100,978.17