Finding the Third Proportional to 335,902.50 and 503,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   335,902.50 : 503,641.50 = 503,641.50 : x
2. Step 2: Convert to fraction form
   335,902.50/503,641.50 = 503,641.50/x
3. Step 3: Cross multiply
   335,902.50x = 503,641.50 × 503,641.50
4. Step 4: Simplify right side
   335,902.50x = 253,654,760,522.25
5. Step 5: Solve for x
   x = 253,654,760,522.25/335,902.50
6. Step 6: Final answer
   x = 755,144.01