Finding the Third Proportional to 85,380 and 137,184

Step by Step Solution

1. Step 1: Write the proportion equation
   85,380 : 137,184 = 137,184 : x
2. Step 2: Convert to fraction form
   85,380/137,184 = 137,184/x
3. Step 3: Cross multiply
   85,380x = 137,184 × 137,184
4. Step 4: Simplify right side
   85,380x = 18,819,449,856
5. Step 5: Solve for x
   x = 18,819,449,856/85,380
6. Step 6: Final answer
   x = 220,419.89