Finding the Third Proportional to 89,960 and 195,468

Step by Step Solution

1. Step 1: Write the proportion equation
   89,960 : 195,468 = 195,468 : x
2. Step 2: Convert to fraction form
   89,960/195,468 = 195,468/x
3. Step 3: Cross multiply
   89,960x = 195,468 × 195,468
4. Step 4: Simplify right side
   89,960x = 38,207,739,024
5. Step 5: Solve for x
   x = 38,207,739,024/89,960
6. Step 6: Final answer
   x = 424,719.20