Finding the Third Proportional to 280,112 and 377,392

Step by Step Solution

1. Step 1: Write the proportion equation
   280,112 : 377,392 = 377,392 : x
2. Step 2: Convert to fraction form
   280,112/377,392 = 377,392/x
3. Step 3: Cross multiply
   280,112x = 377,392 × 377,392
4. Step 4: Simplify right side
   280,112x = 142,424,721,664
5. Step 5: Solve for x
   x = 142,424,721,664/280,112
6. Step 6: Final answer
   x = 508,456.34