Finding the Third Proportional to 52,740 and 80,678

Step by Step Solution

1. Step 1: Write the proportion equation
   52,740 : 80,678 = 80,678 : x
2. Step 2: Convert to fraction form
   52,740/80,678 = 80,678/x
3. Step 3: Cross multiply
   52,740x = 80,678 × 80,678
4. Step 4: Simplify right side
   52,740x = 6,508,939,684
5. Step 5: Solve for x
   x = 6,508,939,684/52,740
6. Step 6: Final answer
   x = 123,415.62