Finding the Third Proportional to 50,205 and 108,186

Step by Step Solution

1. Step 1: Write the proportion equation
   50,205 : 108,186 = 108,186 : x
2. Step 2: Convert to fraction form
   50,205/108,186 = 108,186/x
3. Step 3: Cross multiply
   50,205x = 108,186 × 108,186
4. Step 4: Simplify right side
   50,205x = 11,704,210,596
5. Step 5: Solve for x
   x = 11,704,210,596/50,205
6. Step 6: Final answer
   x = 233,128.39