Finding the Third Proportional to 71,531 and 113,243

Step by Step Solution

1. Step 1: Write the proportion equation
   71,531 : 113,243 = 113,243 : x
2. Step 2: Convert to fraction form
   71,531/113,243 = 113,243/x
3. Step 3: Cross multiply
   71,531x = 113,243 × 113,243
4. Step 4: Simplify right side
   71,531x = 12,823,977,049
5. Step 5: Solve for x
   x = 12,823,977,049/71,531
6. Step 6: Final answer
   x = 179,278.59