Finding the Third Proportional to 89,522 and 195,014

Step by Step Solution

1. Step 1: Write the proportion equation
   89,522 : 195,014 = 195,014 : x
2. Step 2: Convert to fraction form
   89,522/195,014 = 195,014/x
3. Step 3: Cross multiply
   89,522x = 195,014 × 195,014
4. Step 4: Simplify right side
   89,522x = 38,030,460,196
5. Step 5: Solve for x
   x = 38,030,460,196/89,522
6. Step 6: Final answer
   x = 424,816.92