Finding the Third Proportional to 275,200.50 and 421,008

Step by Step Solution

1. Step 1: Write the proportion equation
   275,200.50 : 421,008 = 421,008 : x
2. Step 2: Convert to fraction form
   275,200.50/421,008 = 421,008/x
3. Step 3: Cross multiply
   275,200.50x = 421,008 × 421,008
4. Step 4: Simplify right side
   275,200.50x = 177,247,736,064
5. Step 5: Solve for x
   x = 177,247,736,064/275,200.50
6. Step 6: Final answer
   x = 644,067.64