Finding the Third Proportional to 82,362 and 111,878

Step by Step Solution

1. Step 1: Write the proportion equation
   82,362 : 111,878 = 111,878 : x
2. Step 2: Convert to fraction form
   82,362/111,878 = 111,878/x
3. Step 3: Cross multiply
   82,362x = 111,878 × 111,878
4. Step 4: Simplify right side
   82,362x = 12,516,686,884
5. Step 5: Solve for x
   x = 12,516,686,884/82,362
6. Step 6: Final answer
   x = 151,971.62