Finding the Third Proportional to 90,898 and 194,748

Step by Step Solution

1. Step 1: Write the proportion equation
   90,898 : 194,748 = 194,748 : x
2. Step 2: Convert to fraction form
   90,898/194,748 = 194,748/x
3. Step 3: Cross multiply
   90,898x = 194,748 × 194,748
4. Step 4: Simplify right side
   90,898x = 37,926,783,504
5. Step 5: Solve for x
   x = 37,926,783,504/90,898
6. Step 6: Final answer
   x = 417,245.52