Finding the Third Proportional to 295,407 and 644,281.50

Step by Step Solution

1. Step 1: Write the proportion equation
   295,407 : 644,281.50 = 644,281.50 : x
2. Step 2: Convert to fraction form
   295,407/644,281.50 = 644,281.50/x
3. Step 3: Cross multiply
   295,407x = 644,281.50 × 644,281.50
4. Step 4: Simplify right side
   295,407x = 415,098,651,242.25
5. Step 5: Solve for x
   x = 415,098,651,242.25/295,407
6. Step 6: Final answer
   x = 1,405,175.41