Finding the Third Proportional to 181,548.50 and 279,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   181,548.50 : 279,978.75 = 279,978.75 : x
2. Step 2: Convert to fraction form
   181,548.50/279,978.75 = 279,978.75/x
3. Step 3: Cross multiply
   181,548.50x = 279,978.75 × 279,978.75
4. Step 4: Simplify right side
   181,548.50x = 78,388,100,451.56
5. Step 5: Solve for x
   x = 78,388,100,451.56/181,548.50
6. Step 6: Final answer
   x = 431,774.98