Finding the Third Proportional to 296,145 and 422,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,145 : 422,065.50 = 422,065.50 : x
2. Step 2: Convert to fraction form
   296,145/422,065.50 = 422,065.50/x
3. Step 3: Cross multiply
   296,145x = 422,065.50 × 422,065.50
4. Step 4: Simplify right side
   296,145x = 178,139,286,290.25
5. Step 5: Solve for x
   x = 178,139,286,290.25/296,145
6. Step 6: Final answer
   x = 601,527.25