Finding the Third Proportional to 89,003 and 194,418

Step by Step Solution

1. Step 1: Write the proportion equation
   89,003 : 194,418 = 194,418 : x
2. Step 2: Convert to fraction form
   89,003/194,418 = 194,418/x
3. Step 3: Cross multiply
   89,003x = 194,418 × 194,418
4. Step 4: Simplify right side
   89,003x = 37,798,358,724
5. Step 5: Solve for x
   x = 37,798,358,724/89,003
6. Step 6: Final answer
   x = 424,686.34