Finding the Third Proportional to 333,261 and 476,239.50

Step by Step Solution

1. Step 1: Write the proportion equation
   333,261 : 476,239.50 = 476,239.50 : x
2. Step 2: Convert to fraction form
   333,261/476,239.50 = 476,239.50/x
3. Step 3: Cross multiply
   333,261x = 476,239.50 × 476,239.50
4. Step 4: Simplify right side
   333,261x = 226,804,061,360.25
5. Step 5: Solve for x
   x = 226,804,061,360.25/333,261
6. Step 6: Final answer
   x = 680,559.87