Finding the Third Proportional to 91,782 and 194,592

Step by Step Solution

1. Step 1: Write the proportion equation
   91,782 : 194,592 = 194,592 : x
2. Step 2: Convert to fraction form
   91,782/194,592 = 194,592/x
3. Step 3: Cross multiply
   91,782x = 194,592 × 194,592
4. Step 4: Simplify right side
   91,782x = 37,866,046,464
5. Step 5: Solve for x
   x = 37,866,046,464/91,782
6. Step 6: Final answer
   x = 412,565.06