Finding the Third Proportional to 82,434 and 111,971

Step by Step Solution

1. Step 1: Write the proportion equation
   82,434 : 111,971 = 111,971 : x
2. Step 2: Convert to fraction form
   82,434/111,971 = 111,971/x
3. Step 3: Cross multiply
   82,434x = 111,971 × 111,971
4. Step 4: Simplify right side
   82,434x = 12,537,504,841
5. Step 5: Solve for x
   x = 12,537,504,841/82,434
6. Step 6: Final answer
   x = 152,091.43