Finding the Third Proportional to 310,830 and 472,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   310,830 : 472,320.50 = 472,320.50 : x
2. Step 2: Convert to fraction form
   310,830/472,320.50 = 472,320.50/x
3. Step 3: Cross multiply
   310,830x = 472,320.50 × 472,320.50
4. Step 4: Simplify right side
   310,830x = 223,086,654,720.25
5. Step 5: Solve for x
   x = 223,086,654,720.25/310,830
6. Step 6: Final answer
   x = 717,712.75