Finding the Third Proportional to 53,419.50 and 80,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,419.50 : 80,149.50 = 80,149.50 : x
2. Step 2: Convert to fraction form
   53,419.50/80,149.50 = 80,149.50/x
3. Step 3: Cross multiply
   53,419.50x = 80,149.50 × 80,149.50
4. Step 4: Simplify right side
   53,419.50x = 6,423,942,350.25
5. Step 5: Solve for x
   x = 6,423,942,350.25/53,419.50
6. Step 6: Final answer
   x = 120,254.63