Finding the Third Proportional to 296,322 and 423,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   296,322 : 423,469.50 = 423,469.50 : x
2. Step 2: Convert to fraction form
   296,322/423,469.50 = 423,469.50/x
3. Step 3: Cross multiply
   296,322x = 423,469.50 × 423,469.50
4. Step 4: Simplify right side
   296,322x = 179,326,417,430.25
5. Step 5: Solve for x
   x = 179,326,417,430.25/296,322
6. Step 6: Final answer
   x = 605,174.16