Finding the Third Proportional to 333,656 and 503,364

Step by Step Solution

1. Step 1: Write the proportion equation
   333,656 : 503,364 = 503,364 : x
2. Step 2: Convert to fraction form
   333,656/503,364 = 503,364/x
3. Step 3: Cross multiply
   333,656x = 503,364 × 503,364
4. Step 4: Simplify right side
   333,656x = 253,375,316,496
5. Step 5: Solve for x
   x = 253,375,316,496/333,656
6. Step 6: Final answer
   x = 759,390.86