Finding the Third Proportional to 89,400 and 195,868

Step by Step Solution

1. Step 1: Write the proportion equation
   89,400 : 195,868 = 195,868 : x
2. Step 2: Convert to fraction form
   89,400/195,868 = 195,868/x
3. Step 3: Cross multiply
   89,400x = 195,868 × 195,868
4. Step 4: Simplify right side
   89,400x = 38,364,273,424
5. Step 5: Solve for x
   x = 38,364,273,424/89,400
6. Step 6: Final answer
   x = 429,130.58