Finding the Third Proportional to 208,297.41 and 311,083.59

Step by Step Solution

1. Step 1: Write the proportion equation
   208,297.41 : 311,083.59 = 311,083.59 : x
2. Step 2: Convert to fraction form
   208,297.41/311,083.59 = 311,083.59/x
3. Step 3: Cross multiply
   208,297.41x = 311,083.59 × 311,083.59
4. Step 4: Simplify right side
   208,297.41x = 96,773,002,300.42
5. Step 5: Solve for x
   x = 96,773,002,300.42/208,297.41
6. Step 6: Final answer
   x = 464,590.53