Finding the Third Proportional to 309,224 and 665,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,224 : 665,194.50 = 665,194.50 : x
2. Step 2: Convert to fraction form
   309,224/665,194.50 = 665,194.50/x
3. Step 3: Cross multiply
   309,224x = 665,194.50 × 665,194.50
4. Step 4: Simplify right side
   309,224x = 442,483,722,830.25
5. Step 5: Solve for x
   x = 442,483,722,830.25/309,224
6. Step 6: Final answer
   x = 1,430,948.84