Finding the Third Proportional to 311,983 and 456,274

Step by Step Solution

1. Step 1: Write the proportion equation
   311,983 : 456,274 = 456,274 : x
2. Step 2: Convert to fraction form
   311,983/456,274 = 456,274/x
3. Step 3: Cross multiply
   311,983x = 456,274 × 456,274
4. Step 4: Simplify right side
   311,983x = 208,185,963,076
5. Step 5: Solve for x
   x = 208,185,963,076/311,983
6. Step 6: Final answer
   x = 667,299.06