Finding the Third Proportional to 208,359 and 311,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   208,359 : 311,167.50 = 311,167.50 : x
2. Step 2: Convert to fraction form
   208,359/311,167.50 = 311,167.50/x
3. Step 3: Cross multiply
   208,359x = 311,167.50 × 311,167.50
4. Step 4: Simplify right side
   208,359x = 96,825,213,056.25
5. Step 5: Solve for x
   x = 96,825,213,056.25/208,359
6. Step 6: Final answer
   x = 464,703.77