Finding the Third Proportional to 282,927 and 409,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,927 : 409,162.50 = 409,162.50 : x
2. Step 2: Convert to fraction form
   282,927/409,162.50 = 409,162.50/x
3. Step 3: Cross multiply
   282,927x = 409,162.50 × 409,162.50
4. Step 4: Simplify right side
   282,927x = 167,413,951,406.25
5. Step 5: Solve for x
   x = 167,413,951,406.25/282,927
6. Step 6: Final answer
   x = 591,721.37