Finding the Third Proportional to 196,384 and 416,120

Step by Step Solution

1. Step 1: Write the proportion equation
   196,384 : 416,120 = 416,120 : x
2. Step 2: Convert to fraction form
   196,384/416,120 = 416,120/x
3. Step 3: Cross multiply
   196,384x = 416,120 × 416,120
4. Step 4: Simplify right side
   196,384x = 173,155,854,400
5. Step 5: Solve for x
   x = 173,155,854,400/196,384
6. Step 6: Final answer
   x = 881,720.78