Finding the Third Proportional to 106,552 and 223,308

Step by Step Solution

1. Step 1: Write the proportion equation
   106,552 : 223,308 = 223,308 : x
2. Step 2: Convert to fraction form
   106,552/223,308 = 223,308/x
3. Step 3: Cross multiply
   106,552x = 223,308 × 223,308
4. Step 4: Simplify right side
   106,552x = 49,866,462,864
5. Step 5: Solve for x
   x = 49,866,462,864/106,552
6. Step 6: Final answer
   x = 468,001.19