Finding the Third Proportional to 310,905 and 466,350.75

Step by Step Solution

1. Step 1: Write the proportion equation
   310,905 : 466,350.75 = 466,350.75 : x
2. Step 2: Convert to fraction form
   310,905/466,350.75 = 466,350.75/x
3. Step 3: Cross multiply
   310,905x = 466,350.75 × 466,350.75
4. Step 4: Simplify right side
   310,905x = 217,483,022,025.56
5. Step 5: Solve for x
   x = 217,483,022,025.56/310,905
6. Step 6: Final answer
   x = 699,516.00