Finding the Third Proportional to 90,641 and 194,407

Step by Step Solution

1. Step 1: Write the proportion equation
   90,641 : 194,407 = 194,407 : x
2. Step 2: Convert to fraction form
   90,641/194,407 = 194,407/x
3. Step 3: Cross multiply
   90,641x = 194,407 × 194,407
4. Step 4: Simplify right side
   90,641x = 37,794,081,649
5. Step 5: Solve for x
   x = 37,794,081,649/90,641
6. Step 6: Final answer
   x = 416,964.53