Finding the Third Proportional to 309,684 and 436,086

Step by Step Solution

1. Step 1: Write the proportion equation
   309,684 : 436,086 = 436,086 : x
2. Step 2: Convert to fraction form
   309,684/436,086 = 436,086/x
3. Step 3: Cross multiply
   309,684x = 436,086 × 436,086
4. Step 4: Simplify right side
   309,684x = 190,170,999,396
5. Step 5: Solve for x
   x = 190,170,999,396/309,684
6. Step 6: Final answer
   x = 614,080.80