Finding the Third Proportional to 53,978 and 80,412

Step by Step Solution

1. Step 1: Write the proportion equation
   53,978 : 80,412 = 80,412 : x
2. Step 2: Convert to fraction form
   53,978/80,412 = 80,412/x
3. Step 3: Cross multiply
   53,978x = 80,412 × 80,412
4. Step 4: Simplify right side
   53,978x = 6,466,089,744
5. Step 5: Solve for x
   x = 6,466,089,744/53,978
6. Step 6: Final answer
   x = 119,791.21