Finding the Third Proportional to 81,615 and 126,113.25

Step by Step Solution

1. Step 1: Write the proportion equation
   81,615 : 126,113.25 = 126,113.25 : x
2. Step 2: Convert to fraction form
   81,615/126,113.25 = 126,113.25/x
3. Step 3: Cross multiply
   81,615x = 126,113.25 × 126,113.25
4. Step 4: Simplify right side
   81,615x = 15,904,551,825.56
5. Step 5: Solve for x
   x = 15,904,551,825.56/81,615
6. Step 6: Final answer
   x = 194,872.90