Finding the Third Proportional to 90,784 and 194,684

Step by Step Solution

1. Step 1: Write the proportion equation
   90,784 : 194,684 = 194,684 : x
2. Step 2: Convert to fraction form
   90,784/194,684 = 194,684/x
3. Step 3: Cross multiply
   90,784x = 194,684 × 194,684
4. Step 4: Simplify right side
   90,784x = 37,901,859,856
5. Step 5: Solve for x
   x = 37,901,859,856/90,784
6. Step 6: Final answer
   x = 417,494.93