Finding the Third Proportional to 282,785 and 414,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,785 : 414,673.50 = 414,673.50 : x
2. Step 2: Convert to fraction form
   282,785/414,673.50 = 414,673.50/x
3. Step 3: Cross multiply
   282,785x = 414,673.50 × 414,673.50
4. Step 4: Simplify right side
   282,785x = 171,954,111,602.25
5. Step 5: Solve for x
   x = 171,954,111,602.25/282,785
6. Step 6: Final answer
   x = 608,073.67