Finding the Third Proportional to 310,315.50 and 474,498

Step by Step Solution

1. Step 1: Write the proportion equation
   310,315.50 : 474,498 = 474,498 : x
2. Step 2: Convert to fraction form
   310,315.50/474,498 = 474,498/x
3. Step 3: Cross multiply
   310,315.50x = 474,498 × 474,498
4. Step 4: Simplify right side
   310,315.50x = 225,148,352,004
5. Step 5: Solve for x
   x = 225,148,352,004/310,315.50
6. Step 6: Final answer
   x = 725,546.59