Finding the Third Proportional to 73,586 and 113,914

Step by Step Solution

1. Step 1: Write the proportion equation
   73,586 : 113,914 = 113,914 : x
2. Step 2: Convert to fraction form
   73,586/113,914 = 113,914/x
3. Step 3: Cross multiply
   73,586x = 113,914 × 113,914
4. Step 4: Simplify right side
   73,586x = 12,976,399,396
5. Step 5: Solve for x
   x = 12,976,399,396/73,586
6. Step 6: Final answer
   x = 176,343.32