Finding the Third Proportional to 311,796 and 456,022

Step by Step Solution

1. Step 1: Write the proportion equation
   311,796 : 456,022 = 456,022 : x
2. Step 2: Convert to fraction form
   311,796/456,022 = 456,022/x
3. Step 3: Cross multiply
   311,796x = 456,022 × 456,022
4. Step 4: Simplify right side
   311,796x = 207,956,064,484
5. Step 5: Solve for x
   x = 207,956,064,484/311,796
6. Step 6: Final answer
   x = 666,961.94