Finding the Third Proportional to 137,200 and 278,216

Step by Step Solution

1. Step 1: Write the proportion equation
   137,200 : 278,216 = 278,216 : x
2. Step 2: Convert to fraction form
   137,200/278,216 = 278,216/x
3. Step 3: Cross multiply
   137,200x = 278,216 × 278,216
4. Step 4: Simplify right side
   137,200x = 77,404,142,656
5. Step 5: Solve for x
   x = 77,404,142,656/137,200
6. Step 6: Final answer
   x = 564,170.14