Finding the Third Proportional to 278,119.50 and 647,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   278,119.50 : 647,002.50 = 647,002.50 : x
2. Step 2: Convert to fraction form
   278,119.50/647,002.50 = 647,002.50/x
3. Step 3: Cross multiply
   278,119.50x = 647,002.50 × 647,002.50
4. Step 4: Simplify right side
   278,119.50x = 418,612,235,006.25
5. Step 5: Solve for x
   x = 418,612,235,006.25/278,119.50
6. Step 6: Final answer
   x = 1,505,152.41