Finding the Third Proportional to 226,474 and 493,639.75

Step by Step Solution

1. Step 1: Write the proportion equation
   226,474 : 493,639.75 = 493,639.75 : x
2. Step 2: Convert to fraction form
   226,474/493,639.75 = 493,639.75/x
3. Step 3: Cross multiply
   226,474x = 493,639.75 × 493,639.75
4. Step 4: Simplify right side
   226,474x = 243,680,202,780.06
5. Step 5: Solve for x
   x = 243,680,202,780.06/226,474
6. Step 6: Final answer
   x = 1,075,974.30