Finding the Third Proportional to 89,566 and 195,506

Step by Step Solution

1. Step 1: Write the proportion equation
   89,566 : 195,506 = 195,506 : x
2. Step 2: Convert to fraction form
   89,566/195,506 = 195,506/x
3. Step 3: Cross multiply
   89,566x = 195,506 × 195,506
4. Step 4: Simplify right side
   89,566x = 38,222,596,036
5. Step 5: Solve for x
   x = 38,222,596,036/89,566
6. Step 6: Final answer
   x = 426,753.41