Finding the Third Proportional to 76,013 and 111,731

Step by Step Solution

1. Step 1: Write the proportion equation
   76,013 : 111,731 = 111,731 : x
2. Step 2: Convert to fraction form
   76,013/111,731 = 111,731/x
3. Step 3: Cross multiply
   76,013x = 111,731 × 111,731
4. Step 4: Simplify right side
   76,013x = 12,483,816,361
5. Step 5: Solve for x
   x = 12,483,816,361/76,013
6. Step 6: Final answer
   x = 164,232.65