Finding the Third Proportional to 137,826 and 281,484

Step by Step Solution

1. Step 1: Write the proportion equation
   137,826 : 281,484 = 281,484 : x
2. Step 2: Convert to fraction form
   137,826/281,484 = 281,484/x
3. Step 3: Cross multiply
   137,826x = 281,484 × 281,484
4. Step 4: Simplify right side
   137,826x = 79,233,242,256
5. Step 5: Solve for x
   x = 79,233,242,256/137,826
6. Step 6: Final answer
   x = 574,878.78