Finding the Third Proportional to 331,380 and 506,707.50

Step by Step Solution

1. Step 1: Write the proportion equation
   331,380 : 506,707.50 = 506,707.50 : x
2. Step 2: Convert to fraction form
   331,380/506,707.50 = 506,707.50/x
3. Step 3: Cross multiply
   331,380x = 506,707.50 × 506,707.50
4. Step 4: Simplify right side
   331,380x = 256,752,490,556.25
5. Step 5: Solve for x
   x = 256,752,490,556.25/331,380
6. Step 6: Final answer
   x = 774,797.79