Finding the Third Proportional to 91,806 and 194,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,806 : 194,633.50 = 194,633.50 : x
2. Step 2: Convert to fraction form
   91,806/194,633.50 = 194,633.50/x
3. Step 3: Cross multiply
   91,806x = 194,633.50 × 194,633.50
4. Step 4: Simplify right side
   91,806x = 37,882,199,322.25
5. Step 5: Solve for x
   x = 37,882,199,322.25/91,806
6. Step 6: Final answer
   x = 412,633.15