Finding the Third Proportional to 89,080 and 195,656

Step by Step Solution

1. Step 1: Write the proportion equation
   89,080 : 195,656 = 195,656 : x
2. Step 2: Convert to fraction form
   89,080/195,656 = 195,656/x
3. Step 3: Cross multiply
   89,080x = 195,656 × 195,656
4. Step 4: Simplify right side
   89,080x = 38,281,270,336
5. Step 5: Solve for x
   x = 38,281,270,336/89,080
6. Step 6: Final answer
   x = 429,740.35