Finding the Third Proportional to 185,135.63 and 280,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,135.63 : 280,300.50 = 280,300.50 : x
2. Step 2: Convert to fraction form
   185,135.63/280,300.50 = 280,300.50/x
3. Step 3: Cross multiply
   185,135.63x = 280,300.50 × 280,300.50
4. Step 4: Simplify right side
   185,135.63x = 78,568,370,300.25
5. Step 5: Solve for x
   x = 78,568,370,300.25/185,135.63
6. Step 6: Final answer
   x = 424,382.78