Finding the Third Proportional to 197,918 and 466,742

Step by Step Solution

1. Step 1: Write the proportion equation
   197,918 : 466,742 = 466,742 : x
2. Step 2: Convert to fraction form
   197,918/466,742 = 466,742/x
3. Step 3: Cross multiply
   197,918x = 466,742 × 466,742
4. Step 4: Simplify right side
   197,918x = 217,848,094,564
5. Step 5: Solve for x
   x = 217,848,094,564/197,918
6. Step 6: Final answer
   x = 1,100,698.75