Finding the Third Proportional to 313,444 and 477,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   313,444 : 477,510.50 = 477,510.50 : x
2. Step 2: Convert to fraction form
   313,444/477,510.50 = 477,510.50/x
3. Step 3: Cross multiply
   313,444x = 477,510.50 × 477,510.50
4. Step 4: Simplify right side
   313,444x = 228,016,277,610.25
5. Step 5: Solve for x
   x = 228,016,277,610.25/313,444
6. Step 6: Final answer
   x = 727,454.59