Finding the Third Proportional to 186,719 and 282,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,719 : 282,896.50 = 282,896.50 : x
2. Step 2: Convert to fraction form
   186,719/282,896.50 = 282,896.50/x
3. Step 3: Cross multiply
   186,719x = 282,896.50 × 282,896.50
4. Step 4: Simplify right side
   186,719x = 80,030,429,712.25
5. Step 5: Solve for x
   x = 80,030,429,712.25/186,719
6. Step 6: Final answer
   x = 428,614.28