Finding the Third Proportional to 91,819 and 194,662

Step by Step Solution

1. Step 1: Write the proportion equation
   91,819 : 194,662 = 194,662 : x
2. Step 2: Convert to fraction form
   91,819/194,662 = 194,662/x
3. Step 3: Cross multiply
   91,819x = 194,662 × 194,662
4. Step 4: Simplify right side
   91,819x = 37,893,294,244
5. Step 5: Solve for x
   x = 37,893,294,244/91,819
6. Step 6: Final answer
   x = 412,695.57