Finding the Third Proportional to 83,828.75 and 126,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,828.75 : 126,826.50 = 126,826.50 : x
2. Step 2: Convert to fraction form
   83,828.75/126,826.50 = 126,826.50/x
3. Step 3: Cross multiply
   83,828.75x = 126,826.50 × 126,826.50
4. Step 4: Simplify right side
   83,828.75x = 16,084,961,102.25
5. Step 5: Solve for x
   x = 16,084,961,102.25/83,828.75
6. Step 6: Final answer
   x = 191,878.81