Finding the Third Proportional to 194,091 and 425,538

Step by Step Solution

1. Step 1: Write the proportion equation
   194,091 : 425,538 = 425,538 : x
2. Step 2: Convert to fraction form
   194,091/425,538 = 425,538/x
3. Step 3: Cross multiply
   194,091x = 425,538 × 425,538
4. Step 4: Simplify right side
   194,091x = 181,082,589,444
5. Step 5: Solve for x
   x = 181,082,589,444/194,091
6. Step 6: Final answer
   x = 932,977.78