Finding the Third Proportional to 140,796 and 286,483

Step by Step Solution

1. Step 1: Write the proportion equation
   140,796 : 286,483 = 286,483 : x
2. Step 2: Convert to fraction form
   140,796/286,483 = 286,483/x
3. Step 3: Cross multiply
   140,796x = 286,483 × 286,483
4. Step 4: Simplify right side
   140,796x = 82,072,509,289
5. Step 5: Solve for x
   x = 82,072,509,289/140,796
6. Step 6: Final answer
   x = 582,917.90