Finding the Third Proportional to 117,648 and 223,392

Step by Step Solution

1. Step 1: Write the proportion equation
   117,648 : 223,392 = 223,392 : x
2. Step 2: Convert to fraction form
   117,648/223,392 = 223,392/x
3. Step 3: Cross multiply
   117,648x = 223,392 × 223,392
4. Step 4: Simplify right side
   117,648x = 49,903,985,664
5. Step 5: Solve for x
   x = 49,903,985,664/117,648
6. Step 6: Final answer
   x = 424,180.48