Finding the Third Proportional to 90,784 and 194,040

Step by Step Solution

1. Step 1: Write the proportion equation
   90,784 : 194,040 = 194,040 : x
2. Step 2: Convert to fraction form
   90,784/194,040 = 194,040/x
3. Step 3: Cross multiply
   90,784x = 194,040 × 194,040
4. Step 4: Simplify right side
   90,784x = 37,651,521,600
5. Step 5: Solve for x
   x = 37,651,521,600/90,784
6. Step 6: Final answer
   x = 414,737.42