Finding the Third Proportional to 280,167 and 377,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   280,167 : 377,464.50 = 377,464.50 : x
2. Step 2: Convert to fraction form
   280,167/377,464.50 = 377,464.50/x
3. Step 3: Cross multiply
   280,167x = 377,464.50 × 377,464.50
4. Step 4: Simplify right side
   280,167x = 142,479,448,760.25
5. Step 5: Solve for x
   x = 142,479,448,760.25/280,167
6. Step 6: Final answer
   x = 508,551.86