Finding the Third Proportional to 35,944 and 78,186

Step by Step Solution

1. Step 1: Write the proportion equation
   35,944 : 78,186 = 78,186 : x
2. Step 2: Convert to fraction form
   35,944/78,186 = 78,186/x
3. Step 3: Cross multiply
   35,944x = 78,186 × 78,186
4. Step 4: Simplify right side
   35,944x = 6,113,050,596
5. Step 5: Solve for x
   x = 6,113,050,596/35,944
6. Step 6: Final answer
   x = 170,071.52