Finding the Third Proportional to 140,726 and 287,192

Step by Step Solution

1. Step 1: Write the proportion equation
   140,726 : 287,192 = 287,192 : x
2. Step 2: Convert to fraction form
   140,726/287,192 = 287,192/x
3. Step 3: Cross multiply
   140,726x = 287,192 × 287,192
4. Step 4: Simplify right side
   140,726x = 82,479,244,864
5. Step 5: Solve for x
   x = 82,479,244,864/140,726
6. Step 6: Final answer
   x = 586,098.13