Finding the Third Proportional to 311,742 and 502,039.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,742 : 502,039.50 = 502,039.50 : x
2. Step 2: Convert to fraction form
   311,742/502,039.50 = 502,039.50/x
3. Step 3: Cross multiply
   311,742x = 502,039.50 × 502,039.50
4. Step 4: Simplify right side
   311,742x = 252,043,659,560.25
5. Step 5: Solve for x
   x = 252,043,659,560.25/311,742
6. Step 6: Final answer
   x = 808,500.81