Finding the Third Proportional to 76,138.31 and 111,609.56

Step by Step Solution

1. Step 1: Write the proportion equation
   76,138.31 : 111,609.56 = 111,609.56 : x
2. Step 2: Convert to fraction form
   76,138.31/111,609.56 = 111,609.56/x
3. Step 3: Cross multiply
   76,138.31x = 111,609.56 × 111,609.56
4. Step 4: Simplify right side
   76,138.31x = 12,456,694,441.44
5. Step 5: Solve for x
   x = 12,456,694,441.44/76,138.31
6. Step 6: Final answer
   x = 163,606.13