Finding the Third Proportional to 278,197.50 and 436,878

Step by Step Solution

1. Step 1: Write the proportion equation
   278,197.50 : 436,878 = 436,878 : x
2. Step 2: Convert to fraction form
   278,197.50/436,878 = 436,878/x
3. Step 3: Cross multiply
   278,197.50x = 436,878 × 436,878
4. Step 4: Simplify right side
   278,197.50x = 190,862,386,884
5. Step 5: Solve for x
   x = 190,862,386,884/278,197.50
6. Step 6: Final answer
   x = 686,067.94