Finding the Third Proportional to 350,380 and 725,648

Step by Step Solution

1. Step 1: Write the proportion equation
   350,380 : 725,648 = 725,648 : x
2. Step 2: Convert to fraction form
   350,380/725,648 = 725,648/x
3. Step 3: Cross multiply
   350,380x = 725,648 × 725,648
4. Step 4: Simplify right side
   350,380x = 526,565,019,904
5. Step 5: Solve for x
   x = 526,565,019,904/350,380
6. Step 6: Final answer
   x = 1,502,839.83