Finding the Third Proportional to 82,368 and 111,870

Step by Step Solution

1. Step 1: Write the proportion equation
   82,368 : 111,870 = 111,870 : x
2. Step 2: Convert to fraction form
   82,368/111,870 = 111,870/x
3. Step 3: Cross multiply
   82,368x = 111,870 × 111,870
4. Step 4: Simplify right side
   82,368x = 12,514,896,900
5. Step 5: Solve for x
   x = 12,514,896,900/82,368
6. Step 6: Final answer
   x = 151,938.82