Finding the Third Proportional to 380,514 and 819,895.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,514 : 819,895.50 = 819,895.50 : x
2. Step 2: Convert to fraction form
   380,514/819,895.50 = 819,895.50/x
3. Step 3: Cross multiply
   380,514x = 819,895.50 × 819,895.50
4. Step 4: Simplify right side
   380,514x = 672,228,630,920.25
5. Step 5: Solve for x
   x = 672,228,630,920.25/380,514
6. Step 6: Final answer
   x = 1,766,633.11