Finding the Third Proportional to 205,902 and 319,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,902 : 319,099.50 = 319,099.50 : x
2. Step 2: Convert to fraction form
   205,902/319,099.50 = 319,099.50/x
3. Step 3: Cross multiply
   205,902x = 319,099.50 × 319,099.50
4. Step 4: Simplify right side
   205,902x = 101,824,490,900.25
5. Step 5: Solve for x
   x = 101,824,490,900.25/205,902
6. Step 6: Final answer
   x = 494,528.91