Finding the Third Proportional to 379,838 and 810,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   379,838 : 810,523.50 = 810,523.50 : x
2. Step 2: Convert to fraction form
   379,838/810,523.50 = 810,523.50/x
3. Step 3: Cross multiply
   379,838x = 810,523.50 × 810,523.50
4. Step 4: Simplify right side
   379,838x = 656,948,344,052.25
5. Step 5: Solve for x
   x = 656,948,344,052.25/379,838
6. Step 6: Final answer
   x = 1,729,548.77