Finding the Third Proportional to 185,364 and 287,262

Step by Step Solution

1. Step 1: Write the proportion equation
   185,364 : 287,262 = 287,262 : x
2. Step 2: Convert to fraction form
   185,364/287,262 = 287,262/x
3. Step 3: Cross multiply
   185,364x = 287,262 × 287,262
4. Step 4: Simplify right side
   185,364x = 82,519,456,644
5. Step 5: Solve for x
   x = 82,519,456,644/185,364
6. Step 6: Final answer
   x = 445,175.20