Finding the Third Proportional to 35,944 and 78,185

Step by Step Solution

1. Step 1: Write the proportion equation
   35,944 : 78,185 = 78,185 : x
2. Step 2: Convert to fraction form
   35,944/78,185 = 78,185/x
3. Step 3: Cross multiply
   35,944x = 78,185 × 78,185
4. Step 4: Simplify right side
   35,944x = 6,112,894,225
5. Step 5: Solve for x
   x = 6,112,894,225/35,944
6. Step 6: Final answer
   x = 170,067.17