Finding the Third Proportional to 140,420 and 182,166

Step by Step Solution

1. Step 1: Write the proportion equation
   140,420 : 182,166 = 182,166 : x
2. Step 2: Convert to fraction form
   140,420/182,166 = 182,166/x
3. Step 3: Cross multiply
   140,420x = 182,166 × 182,166
4. Step 4: Simplify right side
   140,420x = 33,184,451,556
5. Step 5: Solve for x
   x = 33,184,451,556/140,420
6. Step 6: Final answer
   x = 236,322.83