Finding the Third Proportional to 78,084 and 124,155

Step by Step Solution

1. Step 1: Write the proportion equation
   78,084 : 124,155 = 124,155 : x
2. Step 2: Convert to fraction form
   78,084/124,155 = 124,155/x
3. Step 3: Cross multiply
   78,084x = 124,155 × 124,155
4. Step 4: Simplify right side
   78,084x = 15,414,464,025
5. Step 5: Solve for x
   x = 15,414,464,025/78,084
6. Step 6: Final answer
   x = 197,408.74