Finding the Third Proportional to 311,841 and 502,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,841 : 502,213.50 = 502,213.50 : x
2. Step 2: Convert to fraction form
   311,841/502,213.50 = 502,213.50/x
3. Step 3: Cross multiply
   311,841x = 502,213.50 × 502,213.50
4. Step 4: Simplify right side
   311,841x = 252,218,399,582.25
5. Step 5: Solve for x
   x = 252,218,399,582.25/311,841
6. Step 6: Final answer
   x = 808,804.49