Finding the Third Proportional to 312,147 and 467,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   312,147 : 467,365.50 = 467,365.50 : x
2. Step 2: Convert to fraction form
   312,147/467,365.50 = 467,365.50/x
3. Step 3: Cross multiply
   312,147x = 467,365.50 × 467,365.50
4. Step 4: Simplify right side
   312,147x = 218,430,510,590.25
5. Step 5: Solve for x
   x = 218,430,510,590.25/312,147
6. Step 6: Final answer
   x = 699,768.09