Finding the Third Proportional to 311,920.50 and 502,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,920.50 : 502,333.50 = 502,333.50 : x
2. Step 2: Convert to fraction form
   311,920.50/502,333.50 = 502,333.50/x
3. Step 3: Cross multiply
   311,920.50x = 502,333.50 × 502,333.50
4. Step 4: Simplify right side
   311,920.50x = 252,338,945,222.25
5. Step 5: Solve for x
   x = 252,338,945,222.25/311,920.50
6. Step 6: Final answer
   x = 808,984.81