Finding the Third Proportional to 33,111 and 78,105

Step by Step Solution

1. Step 1: Write the proportion equation
   33,111 : 78,105 = 78,105 : x
2. Step 2: Convert to fraction form
   33,111/78,105 = 78,105/x
3. Step 3: Cross multiply
   33,111x = 78,105 × 78,105
4. Step 4: Simplify right side
   33,111x = 6,100,391,025
5. Step 5: Solve for x
   x = 6,100,391,025/33,111
6. Step 6: Final answer
   x = 184,240.62