Finding the Third Proportional to 88,644 and 196,971

Step by Step Solution

1. Step 1: Write the proportion equation
   88,644 : 196,971 = 196,971 : x
2. Step 2: Convert to fraction form
   88,644/196,971 = 196,971/x
3. Step 3: Cross multiply
   88,644x = 196,971 × 196,971
4. Step 4: Simplify right side
   88,644x = 38,797,574,841
5. Step 5: Solve for x
   x = 38,797,574,841/88,644
6. Step 6: Final answer
   x = 437,678.52