Finding the Third Proportional to 185,702 and 287,072

Step by Step Solution

1. Step 1: Write the proportion equation
   185,702 : 287,072 = 287,072 : x
2. Step 2: Convert to fraction form
   185,702/287,072 = 287,072/x
3. Step 3: Cross multiply
   185,702x = 287,072 × 287,072
4. Step 4: Simplify right side
   185,702x = 82,410,333,184
5. Step 5: Solve for x
   x = 82,410,333,184/185,702
6. Step 6: Final answer
   x = 443,777.31