Finding the Third Proportional to 90,202 and 194,704

Step by Step Solution

1. Step 1: Write the proportion equation
   90,202 : 194,704 = 194,704 : x
2. Step 2: Convert to fraction form
   90,202/194,704 = 194,704/x
3. Step 3: Cross multiply
   90,202x = 194,704 × 194,704
4. Step 4: Simplify right side
   90,202x = 37,909,647,616
5. Step 5: Solve for x
   x = 37,909,647,616/90,202
6. Step 6: Final answer
   x = 420,275.02