Finding the Third Proportional to 82,364 and 111,854

Step by Step Solution

1. Step 1: Write the proportion equation
   82,364 : 111,854 = 111,854 : x
2. Step 2: Convert to fraction form
   82,364/111,854 = 111,854/x
3. Step 3: Cross multiply
   82,364x = 111,854 × 111,854
4. Step 4: Simplify right side
   82,364x = 12,511,317,316
5. Step 5: Solve for x
   x = 12,511,317,316/82,364
6. Step 6: Final answer
   x = 151,902.74