Finding the Third Proportional to 82,352 and 111,863

Step by Step Solution

1. Step 1: Write the proportion equation
   82,352 : 111,863 = 111,863 : x
2. Step 2: Convert to fraction form
   82,352/111,863 = 111,863/x
3. Step 3: Cross multiply
   82,352x = 111,863 × 111,863
4. Step 4: Simplify right side
   82,352x = 12,513,330,769
5. Step 5: Solve for x
   x = 12,513,330,769/82,352
6. Step 6: Final answer
   x = 151,949.32