Finding the Third Proportional to 194,584 and 426,076

Step by Step Solution

1. Step 1: Write the proportion equation
   194,584 : 426,076 = 426,076 : x
2. Step 2: Convert to fraction form
   194,584/426,076 = 426,076/x
3. Step 3: Cross multiply
   194,584x = 426,076 × 426,076
4. Step 4: Simplify right side
   194,584x = 181,540,757,776
5. Step 5: Solve for x
   x = 181,540,757,776/194,584
6. Step 6: Final answer
   x = 932,968.58