Finding the Third Proportional to 71,830 and 113,291

Step by Step Solution

1. Step 1: Write the proportion equation
   71,830 : 113,291 = 113,291 : x
2. Step 2: Convert to fraction form
   71,830/113,291 = 113,291/x
3. Step 3: Cross multiply
   71,830x = 113,291 × 113,291
4. Step 4: Simplify right side
   71,830x = 12,834,850,681
5. Step 5: Solve for x
   x = 12,834,850,681/71,830
6. Step 6: Final answer
   x = 178,683.71