Finding the Third Proportional to 411,199.50 and 645,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   411,199.50 : 645,196.50 = 645,196.50 : x
2. Step 2: Convert to fraction form
   411,199.50/645,196.50 = 645,196.50/x
3. Step 3: Cross multiply
   411,199.50x = 645,196.50 × 645,196.50
4. Step 4: Simplify right side
   411,199.50x = 416,278,523,612.25
5. Step 5: Solve for x
   x = 416,278,523,612.25/411,199.50
6. Step 6: Final answer
   x = 1,012,351.73