Finding the Third Proportional to 313,875 and 471,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   313,875 : 471,514.50 = 471,514.50 : x
2. Step 2: Convert to fraction form
   313,875/471,514.50 = 471,514.50/x
3. Step 3: Cross multiply
   313,875x = 471,514.50 × 471,514.50
4. Step 4: Simplify right side
   313,875x = 222,325,923,710.25
5. Step 5: Solve for x
   x = 222,325,923,710.25/313,875
6. Step 6: Final answer
   x = 708,326.32