Finding the Third Proportional to 305,892 and 449,809.50

Step by Step Solution

1. Step 1: Write the proportion equation
   305,892 : 449,809.50 = 449,809.50 : x
2. Step 2: Convert to fraction form
   305,892/449,809.50 = 449,809.50/x
3. Step 3: Cross multiply
   305,892x = 449,809.50 × 449,809.50
4. Step 4: Simplify right side
   305,892x = 202,328,586,290.25
5. Step 5: Solve for x
   x = 202,328,586,290.25/305,892
6. Step 6: Final answer
   x = 661,437.98