Finding the Third Proportional to 82,186 and 111,369

Step by Step Solution

1. Step 1: Write the proportion equation
   82,186 : 111,369 = 111,369 : x
2. Step 2: Convert to fraction form
   82,186/111,369 = 111,369/x
3. Step 3: Cross multiply
   82,186x = 111,369 × 111,369
4. Step 4: Simplify right side
   82,186x = 12,403,054,161
5. Step 5: Solve for x
   x = 12,403,054,161/82,186
6. Step 6: Final answer
   x = 150,914.44