Finding the Third Proportional to 33,774 and 78,186

Step by Step Solution

1. Step 1: Write the proportion equation
   33,774 : 78,186 = 78,186 : x
2. Step 2: Convert to fraction form
   33,774/78,186 = 78,186/x
3. Step 3: Cross multiply
   33,774x = 78,186 × 78,186
4. Step 4: Simplify right side
   33,774x = 6,113,050,596
5. Step 5: Solve for x
   x = 6,113,050,596/33,774
6. Step 6: Final answer
   x = 180,998.71