Finding the Third Proportional to 194,097 and 296,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,097 : 296,329.50 = 296,329.50 : x
2. Step 2: Convert to fraction form
   194,097/296,329.50 = 296,329.50/x
3. Step 3: Cross multiply
   194,097x = 296,329.50 × 296,329.50
4. Step 4: Simplify right side
   194,097x = 87,811,172,570.25
5. Step 5: Solve for x
   x = 87,811,172,570.25/194,097
6. Step 6: Final answer
   x = 452,408.71