Finding the Third Proportional to 194,064 and 426,216

Step by Step Solution

1. Step 1: Write the proportion equation
   194,064 : 426,216 = 426,216 : x
2. Step 2: Convert to fraction form
   194,064/426,216 = 426,216/x
3. Step 3: Cross multiply
   194,064x = 426,216 × 426,216
4. Step 4: Simplify right side
   194,064x = 181,660,078,656
5. Step 5: Solve for x
   x = 181,660,078,656/194,064
6. Step 6: Final answer
   x = 936,083.35