Finding the Third Proportional to 89,588 and 194,980

Step by Step Solution

1. Step 1: Write the proportion equation
   89,588 : 194,980 = 194,980 : x
2. Step 2: Convert to fraction form
   89,588/194,980 = 194,980/x
3. Step 3: Cross multiply
   89,588x = 194,980 × 194,980
4. Step 4: Simplify right side
   89,588x = 38,017,200,400
5. Step 5: Solve for x
   x = 38,017,200,400/89,588
6. Step 6: Final answer
   x = 424,355.94