Finding the Third Proportional to 71,314 and 113,019

Step by Step Solution

1. Step 1: Write the proportion equation
   71,314 : 113,019 = 113,019 : x
2. Step 2: Convert to fraction form
   71,314/113,019 = 113,019/x
3. Step 3: Cross multiply
   71,314x = 113,019 × 113,019
4. Step 4: Simplify right side
   71,314x = 12,773,294,361
5. Step 5: Solve for x
   x = 12,773,294,361/71,314
6. Step 6: Final answer
   x = 179,113.42