Finding the Third Proportional to 208,300 and 311,086.75

Step by Step Solution

1. Step 1: Write the proportion equation
   208,300 : 311,086.75 = 311,086.75 : x
2. Step 2: Convert to fraction form
   208,300/311,086.75 = 311,086.75/x
3. Step 3: Cross multiply
   208,300x = 311,086.75 × 311,086.75
4. Step 4: Simplify right side
   208,300x = 96,774,966,025.56
5. Step 5: Solve for x
   x = 96,774,966,025.56/208,300
6. Step 6: Final answer
   x = 464,594.17