Finding the Third Proportional to 364,348 and 768,300

Step by Step Solution

1. Step 1: Write the proportion equation
   364,348 : 768,300 = 768,300 : x
2. Step 2: Convert to fraction form
   364,348/768,300 = 768,300/x
3. Step 3: Cross multiply
   364,348x = 768,300 × 768,300
4. Step 4: Simplify right side
   364,348x = 590,284,890,000
5. Step 5: Solve for x
   x = 590,284,890,000/364,348
6. Step 6: Final answer
   x = 1,620,112.89