Finding the Third Proportional to 41,189 and 83,835

Step by Step Solution

1. Step 1: Write the proportion equation
   41,189 : 83,835 = 83,835 : x
2. Step 2: Convert to fraction form
   41,189/83,835 = 83,835/x
3. Step 3: Cross multiply
   41,189x = 83,835 × 83,835
4. Step 4: Simplify right side
   41,189x = 7,028,307,225
5. Step 5: Solve for x
   x = 7,028,307,225/41,189
6. Step 6: Final answer
   x = 170,635.54