Finding the Third Proportional to 311,958 and 463,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,958 : 463,348.50 = 463,348.50 : x
2. Step 2: Convert to fraction form
   311,958/463,348.50 = 463,348.50/x
3. Step 3: Cross multiply
   311,958x = 463,348.50 × 463,348.50
4. Step 4: Simplify right side
   311,958x = 214,691,832,452.25
5. Step 5: Solve for x
   x = 214,691,832,452.25/311,958
6. Step 6: Final answer
   x = 688,207.49