Finding the Third Proportional to 90,889 and 194,413

Step by Step Solution

1. Step 1: Write the proportion equation
   90,889 : 194,413 = 194,413 : x
2. Step 2: Convert to fraction form
   90,889/194,413 = 194,413/x
3. Step 3: Cross multiply
   90,889x = 194,413 × 194,413
4. Step 4: Simplify right side
   90,889x = 37,796,414,569
5. Step 5: Solve for x
   x = 37,796,414,569/90,889
6. Step 6: Final answer
   x = 415,852.46