Finding the Third Proportional to 78,084 and 171,216

Step by Step Solution

1. Step 1: Write the proportion equation
   78,084 : 171,216 = 171,216 : x
2. Step 2: Convert to fraction form
   78,084/171,216 = 171,216/x
3. Step 3: Cross multiply
   78,084x = 171,216 × 171,216
4. Step 4: Simplify right side
   78,084x = 29,314,918,656
5. Step 5: Solve for x
   x = 29,314,918,656/78,084
6. Step 6: Final answer
   x = 375,427.98