Finding the Third Proportional to 50,205 and 109,155

Step by Step Solution

1. Step 1: Write the proportion equation
   50,205 : 109,155 = 109,155 : x
2. Step 2: Convert to fraction form
   50,205/109,155 = 109,155/x
3. Step 3: Cross multiply
   50,205x = 109,155 × 109,155
4. Step 4: Simplify right side
   50,205x = 11,914,814,025
5. Step 5: Solve for x
   x = 11,914,814,025/50,205
6. Step 6: Final answer
   x = 237,323.26