Finding the Third Proportional to 309,612 and 436,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,612 : 436,006.50 = 436,006.50 : x
2. Step 2: Convert to fraction form
   309,612/436,006.50 = 436,006.50/x
3. Step 3: Cross multiply
   309,612x = 436,006.50 × 436,006.50
4. Step 4: Simplify right side
   309,612x = 190,101,668,042.25
5. Step 5: Solve for x
   x = 190,101,668,042.25/309,612
6. Step 6: Final answer
   x = 613,999.68