Finding the Third Proportional to 90,894 and 194,748

Step by Step Solution

1. Step 1: Write the proportion equation
   90,894 : 194,748 = 194,748 : x
2. Step 2: Convert to fraction form
   90,894/194,748 = 194,748/x
3. Step 3: Cross multiply
   90,894x = 194,748 × 194,748
4. Step 4: Simplify right side
   90,894x = 37,926,783,504
5. Step 5: Solve for x
   x = 37,926,783,504/90,894
6. Step 6: Final answer
   x = 417,263.88