Finding the Third Proportional to 33,217 and 78,155

Step by Step Solution

1. Step 1: Write the proportion equation
   33,217 : 78,155 = 78,155 : x
2. Step 2: Convert to fraction form
   33,217/78,155 = 78,155/x
3. Step 3: Cross multiply
   33,217x = 78,155 × 78,155
4. Step 4: Simplify right side
   33,217x = 6,108,204,025
5. Step 5: Solve for x
   x = 6,108,204,025/33,217
6. Step 6: Final answer
   x = 183,887.89