Finding the Third Proportional to 106,784 and 223,648

Step by Step Solution

1. Step 1: Write the proportion equation
   106,784 : 223,648 = 223,648 : x
2. Step 2: Convert to fraction form
   106,784/223,648 = 223,648/x
3. Step 3: Cross multiply
   106,784x = 223,648 × 223,648
4. Step 4: Simplify right side
   106,784x = 50,018,427,904
5. Step 5: Solve for x
   x = 50,018,427,904/106,784
6. Step 6: Final answer
   x = 468,407.51