Finding the Third Proportional to 33,785 and 78,205

Step by Step Solution

1. Step 1: Write the proportion equation
   33,785 : 78,205 = 78,205 : x
2. Step 2: Convert to fraction form
   33,785/78,205 = 78,205/x
3. Step 3: Cross multiply
   33,785x = 78,205 × 78,205
4. Step 4: Simplify right side
   33,785x = 6,116,022,025
5. Step 5: Solve for x
   x = 6,116,022,025/33,785
6. Step 6: Final answer
   x = 181,027.73