Finding the Third Proportional to 314,067 and 472,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   314,067 : 472,828.50 = 472,828.50 : x
2. Step 2: Convert to fraction form
   314,067/472,828.50 = 472,828.50/x
3. Step 3: Cross multiply
   314,067x = 472,828.50 × 472,828.50
4. Step 4: Simplify right side
   314,067x = 223,566,790,412.25
5. Step 5: Solve for x
   x = 223,566,790,412.25/314,067
6. Step 6: Final answer
   x = 711,844.26