Finding the Third Proportional to 340,936 and 511,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   340,936 : 511,404.50 = 511,404.50 : x
2. Step 2: Convert to fraction form
   340,936/511,404.50 = 511,404.50/x
3. Step 3: Cross multiply
   340,936x = 511,404.50 × 511,404.50
4. Step 4: Simplify right side
   340,936x = 261,534,562,620.25
5. Step 5: Solve for x
   x = 261,534,562,620.25/340,936
6. Step 6: Final answer
   x = 767,107.50