Finding the Third Proportional to 90,403 and 194,411

Step by Step Solution

1. Step 1: Write the proportion equation
   90,403 : 194,411 = 194,411 : x
2. Step 2: Convert to fraction form
   90,403/194,411 = 194,411/x
3. Step 3: Cross multiply
   90,403x = 194,411 × 194,411
4. Step 4: Simplify right side
   90,403x = 37,795,636,921
5. Step 5: Solve for x
   x = 37,795,636,921/90,403
6. Step 6: Final answer
   x = 418,079.45