Finding the Third Proportional to 90,582 and 196,747

Step by Step Solution

1. Step 1: Write the proportion equation
   90,582 : 196,747 = 196,747 : x
2. Step 2: Convert to fraction form
   90,582/196,747 = 196,747/x
3. Step 3: Cross multiply
   90,582x = 196,747 × 196,747
4. Step 4: Simplify right side
   90,582x = 38,709,382,009
5. Step 5: Solve for x
   x = 38,709,382,009/90,582
6. Step 6: Final answer
   x = 427,340.77