Finding the Third Proportional to 90,782 and 194,680

Step by Step Solution

1. Step 1: Write the proportion equation
   90,782 : 194,680 = 194,680 : x
2. Step 2: Convert to fraction form
   90,782/194,680 = 194,680/x
3. Step 3: Cross multiply
   90,782x = 194,680 × 194,680
4. Step 4: Simplify right side
   90,782x = 37,900,302,400
5. Step 5: Solve for x
   x = 37,900,302,400/90,782
6. Step 6: Final answer
   x = 417,486.97