Finding the Third Proportional to 278,577 and 424,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   278,577 : 424,395.50 = 424,395.50 : x
2. Step 2: Convert to fraction form
   278,577/424,395.50 = 424,395.50/x
3. Step 3: Cross multiply
   278,577x = 424,395.50 × 424,395.50
4. Step 4: Simplify right side
   278,577x = 180,111,540,420.25
5. Step 5: Solve for x
   x = 180,111,540,420.25/278,577
6. Step 6: Final answer
   x = 646,541.32