Finding the Third Proportional to 90,927 and 194,487

Step by Step Solution

1. Step 1: Write the proportion equation
   90,927 : 194,487 = 194,487 : x
2. Step 2: Convert to fraction form
   90,927/194,487 = 194,487/x
3. Step 3: Cross multiply
   90,927x = 194,487 × 194,487
4. Step 4: Simplify right side
   90,927x = 37,825,193,169
5. Step 5: Solve for x
   x = 37,825,193,169/90,927
6. Step 6: Final answer
   x = 415,995.17