Finding the Third Proportional to 106,308 and 223,632

Step by Step Solution

1. Step 1: Write the proportion equation
   106,308 : 223,632 = 223,632 : x
2. Step 2: Convert to fraction form
   106,308/223,632 = 223,632/x
3. Step 3: Cross multiply
   106,308x = 223,632 × 223,632
4. Step 4: Simplify right side
   106,308x = 50,011,271,424
5. Step 5: Solve for x
   x = 50,011,271,424/106,308
6. Step 6: Final answer
   x = 470,437.52