Finding the Third Proportional to 205,776 and 309,211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,776 : 309,211.50 = 309,211.50 : x
2. Step 2: Convert to fraction form
   205,776/309,211.50 = 309,211.50/x
3. Step 3: Cross multiply
   205,776x = 309,211.50 × 309,211.50
4. Step 4: Simplify right side
   205,776x = 95,611,751,732.25
5. Step 5: Solve for x
   x = 95,611,751,732.25/205,776
6. Step 6: Final answer
   x = 464,639.96