Finding the Third Proportional to 91,795.50 and 194,620.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,795.50 : 194,620.50 = 194,620.50 : x
2. Step 2: Convert to fraction form
   91,795.50/194,620.50 = 194,620.50/x
3. Step 3: Cross multiply
   91,795.50x = 194,620.50 × 194,620.50
4. Step 4: Simplify right side
   91,795.50x = 37,877,139,020.25
5. Step 5: Solve for x
   x = 37,877,139,020.25/91,795.50
6. Step 6: Final answer
   x = 412,625.23