Finding the Third Proportional to 288,765 and 699,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   288,765 : 699,763.50 = 699,763.50 : x
2. Step 2: Convert to fraction form
   288,765/699,763.50 = 699,763.50/x
3. Step 3: Cross multiply
   288,765x = 699,763.50 × 699,763.50
4. Step 4: Simplify right side
   288,765x = 489,668,955,932.25
5. Step 5: Solve for x
   x = 489,668,955,932.25/288,765
6. Step 6: Final answer
   x = 1,695,735.13