Finding the Third Proportional to 311,404.50 and 465,481.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,404.50 : 465,481.50 = 465,481.50 : x
2. Step 2: Convert to fraction form
   311,404.50/465,481.50 = 465,481.50/x
3. Step 3: Cross multiply
   311,404.50x = 465,481.50 × 465,481.50
4. Step 4: Simplify right side
   311,404.50x = 216,673,026,842.25
5. Step 5: Solve for x
   x = 216,673,026,842.25/311,404.50
6. Step 6: Final answer
   x = 695,792.86