Finding the Third Proportional to 333,034.50 and 494,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,034.50 : 494,407.50 = 494,407.50 : x
2. Step 2: Convert to fraction form
   333,034.50/494,407.50 = 494,407.50/x
3. Step 3: Cross multiply
   333,034.50x = 494,407.50 × 494,407.50
4. Step 4: Simplify right side
   333,034.50x = 244,438,776,056.25
5. Step 5: Solve for x
   x = 244,438,776,056.25/333,034.50
6. Step 6: Final answer
   x = 733,974.34