Finding the Third Proportional to 90,653 and 194,418

Step by Step Solution

1. Step 1: Write the proportion equation
   90,653 : 194,418 = 194,418 : x
2. Step 2: Convert to fraction form
   90,653/194,418 = 194,418/x
3. Step 3: Cross multiply
   90,653x = 194,418 × 194,418
4. Step 4: Simplify right side
   90,653x = 37,798,358,724
5. Step 5: Solve for x
   x = 37,798,358,724/90,653
6. Step 6: Final answer
   x = 416,956.51