Finding the Third Proportional to 106,128.50 and 223,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,128.50 : 223,196.50 = 223,196.50 : x
2. Step 2: Convert to fraction form
   106,128.50/223,196.50 = 223,196.50/x
3. Step 3: Cross multiply
   106,128.50x = 223,196.50 × 223,196.50
4. Step 4: Simplify right side
   106,128.50x = 49,816,677,612.25
5. Step 5: Solve for x
   x = 49,816,677,612.25/106,128.50
6. Step 6: Final answer
   x = 469,399.62