Finding the Third Proportional to 275,067 and 420,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   275,067 : 420,773.50 = 420,773.50 : x
2. Step 2: Convert to fraction form
   275,067/420,773.50 = 420,773.50/x
3. Step 3: Cross multiply
   275,067x = 420,773.50 × 420,773.50
4. Step 4: Simplify right side
   275,067x = 177,050,338,302.25
5. Step 5: Solve for x
   x = 177,050,338,302.25/275,067
6. Step 6: Final answer
   x = 643,662.59