Finding the Third Proportional to 185,256 and 287,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,256 : 287,036.50 = 287,036.50 : x
2. Step 2: Convert to fraction form
   185,256/287,036.50 = 287,036.50/x
3. Step 3: Cross multiply
   185,256x = 287,036.50 × 287,036.50
4. Step 4: Simplify right side
   185,256x = 82,389,952,332.25
5. Step 5: Solve for x
   x = 82,389,952,332.25/185,256
6. Step 6: Final answer
   x = 444,735.68