Finding the Third Proportional to 415,759.50 and 579,258

Step by Step Solution

1. Step 1: Write the proportion equation
   415,759.50 : 579,258 = 579,258 : x
2. Step 2: Convert to fraction form
   415,759.50/579,258 = 579,258/x
3. Step 3: Cross multiply
   415,759.50x = 579,258 × 579,258
4. Step 4: Simplify right side
   415,759.50x = 335,539,830,564
5. Step 5: Solve for x
   x = 335,539,830,564/415,759.50
6. Step 6: Final answer
   x = 807,052.71