Finding the Third Proportional to 50,205 and 108,185

Step by Step Solution

1. Step 1: Write the proportion equation
   50,205 : 108,185 = 108,185 : x
2. Step 2: Convert to fraction form
   50,205/108,185 = 108,185/x
3. Step 3: Cross multiply
   50,205x = 108,185 × 108,185
4. Step 4: Simplify right side
   50,205x = 11,703,994,225
5. Step 5: Solve for x
   x = 11,703,994,225/50,205
6. Step 6: Final answer
   x = 233,124.08