Finding the Third Proportional to 282,783 and 414,670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,783 : 414,670.50 = 414,670.50 : x
2. Step 2: Convert to fraction form
   282,783/414,670.50 = 414,670.50/x
3. Step 3: Cross multiply
   282,783x = 414,670.50 × 414,670.50
4. Step 4: Simplify right side
   282,783x = 171,951,623,570.25
5. Step 5: Solve for x
   x = 171,951,623,570.25/282,783
6. Step 6: Final answer
   x = 608,069.17