Finding the Third Proportional to 208,386 and 311,205.38

Step by Step Solution

1. Step 1: Write the proportion equation
   208,386 : 311,205.38 = 311,205.38 : x
2. Step 2: Convert to fraction form
   208,386/311,205.38 = 311,205.38/x
3. Step 3: Cross multiply
   208,386x = 311,205.38 × 311,205.38
4. Step 4: Simplify right side
   208,386x = 96,848,785,428.89
5. Step 5: Solve for x
   x = 96,848,785,428.89/208,386
6. Step 6: Final answer
   x = 464,756.68