Finding the Third Proportional to 311,904 and 456,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,904 : 456,733.50 = 456,733.50 : x
2. Step 2: Convert to fraction form
   311,904/456,733.50 = 456,733.50/x
3. Step 3: Cross multiply
   311,904x = 456,733.50 × 456,733.50
4. Step 4: Simplify right side
   311,904x = 208,605,490,022.25
5. Step 5: Solve for x
   x = 208,605,490,022.25/311,904
6. Step 6: Final answer
   x = 668,813.13