Finding the Third Proportional to 295,306 and 644,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   295,306 : 644,742.50 = 644,742.50 : x
2. Step 2: Convert to fraction form
   295,306/644,742.50 = 644,742.50/x
3. Step 3: Cross multiply
   295,306x = 644,742.50 × 644,742.50
4. Step 4: Simplify right side
   295,306x = 415,692,891,306.25
5. Step 5: Solve for x
   x = 415,692,891,306.25/295,306
6. Step 6: Final answer
   x = 1,407,668.29