Finding the Third Proportional to 89,394 and 195,858

Step by Step Solution

1. Step 1: Write the proportion equation
   89,394 : 195,858 = 195,858 : x
2. Step 2: Convert to fraction form
   89,394/195,858 = 195,858/x
3. Step 3: Cross multiply
   89,394x = 195,858 × 195,858
4. Step 4: Simplify right side
   89,394x = 38,360,356,164
5. Step 5: Solve for x
   x = 38,360,356,164/89,394
6. Step 6: Final answer
   x = 429,115.56