Finding the Third Proportional to 177,741 and 282,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,741 : 282,667.50 = 282,667.50 : x
2. Step 2: Convert to fraction form
   177,741/282,667.50 = 282,667.50/x
3. Step 3: Cross multiply
   177,741x = 282,667.50 × 282,667.50
4. Step 4: Simplify right side
   177,741x = 79,900,915,556.25
5. Step 5: Solve for x
   x = 79,900,915,556.25/177,741
6. Step 6: Final answer
   x = 449,535.65