Finding the Third Proportional to 90,930 and 194,498

Step by Step Solution

1. Step 1: Write the proportion equation
   90,930 : 194,498 = 194,498 : x
2. Step 2: Convert to fraction form
   90,930/194,498 = 194,498/x
3. Step 3: Cross multiply
   90,930x = 194,498 × 194,498
4. Step 4: Simplify right side
   90,930x = 37,829,472,004
5. Step 5: Solve for x
   x = 37,829,472,004/90,930
6. Step 6: Final answer
   x = 416,028.51