Finding the Third Proportional to 53,629.50 and 80,340.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,629.50 : 80,340.75 = 80,340.75 : x
2. Step 2: Convert to fraction form
   53,629.50/80,340.75 = 80,340.75/x
3. Step 3: Cross multiply
   53,629.50x = 80,340.75 × 80,340.75
4. Step 4: Simplify right side
   53,629.50x = 6,454,636,110.56
5. Step 5: Solve for x
   x = 6,454,636,110.56/53,629.50
6. Step 6: Final answer
   x = 120,356.07