Finding the Third Proportional to 27,878 and 60,184

Step by Step Solution

1. Step 1: Write the proportion equation
   27,878 : 60,184 = 60,184 : x
2. Step 2: Convert to fraction form
   27,878/60,184 = 60,184/x
3. Step 3: Cross multiply
   27,878x = 60,184 × 60,184
4. Step 4: Simplify right side
   27,878x = 3,622,113,856
5. Step 5: Solve for x
   x = 3,622,113,856/27,878
6. Step 6: Final answer
   x = 129,927.32