Finding the Third Proportional to 309,681 and 436,095

Step by Step Solution

1. Step 1: Write the proportion equation
   309,681 : 436,095 = 436,095 : x
2. Step 2: Convert to fraction form
   309,681/436,095 = 436,095/x
3. Step 3: Cross multiply
   309,681x = 436,095 × 436,095
4. Step 4: Simplify right side
   309,681x = 190,178,849,025
5. Step 5: Solve for x
   x = 190,178,849,025/309,681
6. Step 6: Final answer
   x = 614,112.10