Finding the Third Proportional to 90,788 and 194,692

Step by Step Solution

1. Step 1: Write the proportion equation
   90,788 : 194,692 = 194,692 : x
2. Step 2: Convert to fraction form
   90,788/194,692 = 194,692/x
3. Step 3: Cross multiply
   90,788x = 194,692 × 194,692
4. Step 4: Simplify right side
   90,788x = 37,904,974,864
5. Step 5: Solve for x
   x = 37,904,974,864/90,788
6. Step 6: Final answer
   x = 417,510.85