Finding the Third Proportional to 89,570 and 195,514

Step by Step Solution

1. Step 1: Write the proportion equation
   89,570 : 195,514 = 195,514 : x
2. Step 2: Convert to fraction form
   89,570/195,514 = 195,514/x
3. Step 3: Cross multiply
   89,570x = 195,514 × 195,514
4. Step 4: Simplify right side
   89,570x = 38,225,724,196
5. Step 5: Solve for x
   x = 38,225,724,196/89,570
6. Step 6: Final answer
   x = 426,769.28