Finding the Third Proportional to 313,596 and 471,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   313,596 : 471,100.50 = 471,100.50 : x
2. Step 2: Convert to fraction form
   313,596/471,100.50 = 471,100.50/x
3. Step 3: Cross multiply
   313,596x = 471,100.50 × 471,100.50
4. Step 4: Simplify right side
   313,596x = 221,935,681,100.25
5. Step 5: Solve for x
   x = 221,935,681,100.25/313,596
6. Step 6: Final answer
   x = 707,712.09