Finding the Third Proportional to 78,084 and 121,014

Step by Step Solution

1. Step 1: Write the proportion equation
   78,084 : 121,014 = 121,014 : x
2. Step 2: Convert to fraction form
   78,084/121,014 = 121,014/x
3. Step 3: Cross multiply
   78,084x = 121,014 × 121,014
4. Step 4: Simplify right side
   78,084x = 14,644,388,196
5. Step 5: Solve for x
   x = 14,644,388,196/78,084
6. Step 6: Final answer
   x = 187,546.59