Finding the Third Proportional to 208,386 and 311,701.50

Step by Step Solution

1. Step 1: Write the proportion equation
   208,386 : 311,701.50 = 311,701.50 : x
2. Step 2: Convert to fraction form
   208,386/311,701.50 = 311,701.50/x
3. Step 3: Cross multiply
   208,386x = 311,701.50 × 311,701.50
4. Step 4: Simplify right side
   208,386x = 97,157,825,102.25
5. Step 5: Solve for x
   x = 97,157,825,102.25/208,386
6. Step 6: Final answer
   x = 466,239.70