Finding the Third Proportional to 82,044 and 117,321

Step by Step Solution

1. Step 1: Write the proportion equation
   82,044 : 117,321 = 117,321 : x
2. Step 2: Convert to fraction form
   82,044/117,321 = 117,321/x
3. Step 3: Cross multiply
   82,044x = 117,321 × 117,321
4. Step 4: Simplify right side
   82,044x = 13,764,217,041
5. Step 5: Solve for x
   x = 13,764,217,041/82,044
6. Step 6: Final answer
   x = 167,766.28