Finding the Third Proportional to 71,683 and 113,860

Step by Step Solution

1. Step 1: Write the proportion equation
   71,683 : 113,860 = 113,860 : x
2. Step 2: Convert to fraction form
   71,683/113,860 = 113,860/x
3. Step 3: Cross multiply
   71,683x = 113,860 × 113,860
4. Step 4: Simplify right side
   71,683x = 12,964,099,600
5. Step 5: Solve for x
   x = 12,964,099,600/71,683
6. Step 6: Final answer
   x = 180,853.20