Finding the Third Proportional to 90,802 and 194,236

Step by Step Solution

1. Step 1: Write the proportion equation
   90,802 : 194,236 = 194,236 : x
2. Step 2: Convert to fraction form
   90,802/194,236 = 194,236/x
3. Step 3: Cross multiply
   90,802x = 194,236 × 194,236
4. Step 4: Simplify right side
   90,802x = 37,727,623,696
5. Step 5: Solve for x
   x = 37,727,623,696/90,802
6. Step 6: Final answer
   x = 415,493.31