Finding the Third Proportional to 90,506 and 194,823

Step by Step Solution

1. Step 1: Write the proportion equation
   90,506 : 194,823 = 194,823 : x
2. Step 2: Convert to fraction form
   90,506/194,823 = 194,823/x
3. Step 3: Cross multiply
   90,506x = 194,823 × 194,823
4. Step 4: Simplify right side
   90,506x = 37,956,001,329
5. Step 5: Solve for x
   x = 37,956,001,329/90,506
6. Step 6: Final answer
   x = 419,375.53