Finding the Third Proportional to 280,352 and 377,736

Step by Step Solution

1. Step 1: Write the proportion equation
   280,352 : 377,736 = 377,736 : x
2. Step 2: Convert to fraction form
   280,352/377,736 = 377,736/x
3. Step 3: Cross multiply
   280,352x = 377,736 × 377,736
4. Step 4: Simplify right side
   280,352x = 142,684,485,696
5. Step 5: Solve for x
   x = 142,684,485,696/280,352
6. Step 6: Final answer
   x = 508,947.63