Finding the Third Proportional to 33,768 and 78,178

Step by Step Solution

1. Step 1: Write the proportion equation
   33,768 : 78,178 = 78,178 : x
2. Step 2: Convert to fraction form
   33,768/78,178 = 78,178/x
3. Step 3: Cross multiply
   33,768x = 78,178 × 78,178
4. Step 4: Simplify right side
   33,768x = 6,111,799,684
5. Step 5: Solve for x
   x = 6,111,799,684/33,768
6. Step 6: Final answer
   x = 180,993.83