Finding the Third Proportional to 46,204 and 100,697

Step by Step Solution

1. Step 1: Write the proportion equation
   46,204 : 100,697 = 100,697 : x
2. Step 2: Convert to fraction form
   46,204/100,697 = 100,697/x
3. Step 3: Cross multiply
   46,204x = 100,697 × 100,697
4. Step 4: Simplify right side
   46,204x = 10,139,885,809
5. Step 5: Solve for x
   x = 10,139,885,809/46,204
6. Step 6: Final answer
   x = 219,459.05