Finding the Third Proportional to 311,434.50 and 467,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,434.50 : 467,152.50 = 467,152.50 : x
2. Step 2: Convert to fraction form
   311,434.50/467,152.50 = 467,152.50/x
3. Step 3: Cross multiply
   311,434.50x = 467,152.50 × 467,152.50
4. Step 4: Simplify right side
   311,434.50x = 218,231,458,256.25
5. Step 5: Solve for x
   x = 218,231,458,256.25/311,434.50
6. Step 6: Final answer
   x = 700,729.88