Finding the Third Proportional to 333,396 and 502,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,396 : 502,969.50 = 502,969.50 : x
2. Step 2: Convert to fraction form
   333,396/502,969.50 = 502,969.50/x
3. Step 3: Cross multiply
   333,396x = 502,969.50 × 502,969.50
4. Step 4: Simplify right side
   333,396x = 252,978,317,930.25
5. Step 5: Solve for x
   x = 252,978,317,930.25/333,396
6. Step 6: Final answer
   x = 758,792.30