Finding the Third Proportional to 193,290 and 294,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,290 : 294,037.50 = 294,037.50 : x
2. Step 2: Convert to fraction form
   193,290/294,037.50 = 294,037.50/x
3. Step 3: Cross multiply
   193,290x = 294,037.50 × 294,037.50
4. Step 4: Simplify right side
   193,290x = 86,458,051,406.25
5. Step 5: Solve for x
   x = 86,458,051,406.25/193,290
6. Step 6: Final answer
   x = 447,297.07