Finding the Third Proportional to 313,606 and 471,115.50

Step by Step Solution

1. Step 1: Write the proportion equation
   313,606 : 471,115.50 = 471,115.50 : x
2. Step 2: Convert to fraction form
   313,606/471,115.50 = 471,115.50/x
3. Step 3: Cross multiply
   313,606x = 471,115.50 × 471,115.50
4. Step 4: Simplify right side
   313,606x = 221,949,814,340.25
5. Step 5: Solve for x
   x = 221,949,814,340.25/313,606
6. Step 6: Final answer
   x = 707,734.59