Finding the Third Proportional to 81,826.75 and 126,996.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,826.75 : 126,996.50 = 126,996.50 : x
2. Step 2: Convert to fraction form
   81,826.75/126,996.50 = 126,996.50/x
3. Step 3: Cross multiply
   81,826.75x = 126,996.50 × 126,996.50
4. Step 4: Simplify right side
   81,826.75x = 16,128,111,012.25
5. Step 5: Solve for x
   x = 16,128,111,012.25/81,826.75
6. Step 6: Final answer
   x = 197,100.72