Finding the Third Proportional to 311,940 and 465,830.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,940 : 465,830.50 = 465,830.50 : x
2. Step 2: Convert to fraction form
   311,940/465,830.50 = 465,830.50/x
3. Step 3: Cross multiply
   311,940x = 465,830.50 × 465,830.50
4. Step 4: Simplify right side
   311,940x = 216,998,054,730.25
5. Step 5: Solve for x
   x = 216,998,054,730.25/311,940
6. Step 6: Final answer
   x = 695,640.36