Finding the Third Proportional to 196,992 and 418,602

Step by Step Solution

1. Step 1: Write the proportion equation
   196,992 : 418,602 = 418,602 : x
2. Step 2: Convert to fraction form
   196,992/418,602 = 418,602/x
3. Step 3: Cross multiply
   196,992x = 418,602 × 418,602
4. Step 4: Simplify right side
   196,992x = 175,227,634,404
5. Step 5: Solve for x
   x = 175,227,634,404/196,992
6. Step 6: Final answer
   x = 889,516.50