Finding the Third Proportional to 280,300.50 and 377,682.75

Step by Step Solution

1. Step 1: Write the proportion equation
   280,300.50 : 377,682.75 = 377,682.75 : x
2. Step 2: Convert to fraction form
   280,300.50/377,682.75 = 377,682.75/x
3. Step 3: Cross multiply
   280,300.50x = 377,682.75 × 377,682.75
4. Step 4: Simplify right side
   280,300.50x = 142,644,259,647.56
5. Step 5: Solve for x
   x = 142,644,259,647.56/280,300.50
6. Step 6: Final answer
   x = 508,897.63