Finding the Third Proportional to 311,067 and 460,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,067 : 460,036.50 = 460,036.50 : x
2. Step 2: Convert to fraction form
   311,067/460,036.50 = 460,036.50/x
3. Step 3: Cross multiply
   311,067x = 460,036.50 × 460,036.50
4. Step 4: Simplify right side
   311,067x = 211,633,581,332.25
5. Step 5: Solve for x
   x = 211,633,581,332.25/311,067
6. Step 6: Final answer
   x = 680,347.26