Finding the Third Proportional to 46,662 and 100,695

Step by Step Solution

1. Step 1: Write the proportion equation
   46,662 : 100,695 = 100,695 : x
2. Step 2: Convert to fraction form
   46,662/100,695 = 100,695/x
3. Step 3: Cross multiply
   46,662x = 100,695 × 100,695
4. Step 4: Simplify right side
   46,662x = 10,139,483,025
5. Step 5: Solve for x
   x = 10,139,483,025/46,662
6. Step 6: Final answer
   x = 217,296.37