Finding the Third Proportional to 90,882 and 194,724

Step by Step Solution

1. Step 1: Write the proportion equation
   90,882 : 194,724 = 194,724 : x
2. Step 2: Convert to fraction form
   90,882/194,724 = 194,724/x
3. Step 3: Cross multiply
   90,882x = 194,724 × 194,724
4. Step 4: Simplify right side
   90,882x = 37,917,436,176
5. Step 5: Solve for x
   x = 37,917,436,176/90,882
6. Step 6: Final answer
   x = 417,216.13