Finding the Third Proportional to 333,066.50 and 493,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,066.50 : 493,858.50 = 493,858.50 : x
2. Step 2: Convert to fraction form
   333,066.50/493,858.50 = 493,858.50/x
3. Step 3: Cross multiply
   333,066.50x = 493,858.50 × 493,858.50
4. Step 4: Simplify right side
   333,066.50x = 243,896,218,022.25
5. Step 5: Solve for x
   x = 243,896,218,022.25/333,066.50
6. Step 6: Final answer
   x = 732,274.84