Finding the Third Proportional to 310,329 and 474,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   310,329 : 474,517.50 = 474,517.50 : x
2. Step 2: Convert to fraction form
   310,329/474,517.50 = 474,517.50/x
3. Step 3: Cross multiply
   310,329x = 474,517.50 × 474,517.50
4. Step 4: Simplify right side
   310,329x = 225,166,857,806.25
5. Step 5: Solve for x
   x = 225,166,857,806.25/310,329
6. Step 6: Final answer
   x = 725,574.66