Finding the Third Proportional to 311,979 and 456,268.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,979 : 456,268.50 = 456,268.50 : x
2. Step 2: Convert to fraction form
   311,979/456,268.50 = 456,268.50/x
3. Step 3: Cross multiply
   311,979x = 456,268.50 × 456,268.50
4. Step 4: Simplify right side
   311,979x = 208,180,944,092.25
5. Step 5: Solve for x
   x = 208,180,944,092.25/311,979
6. Step 6: Final answer
   x = 667,291.53