Finding the Third Proportional to 153,472 and 333,188

Step by Step Solution

1. Step 1: Write the proportion equation
   153,472 : 333,188 = 333,188 : x
2. Step 2: Convert to fraction form
   153,472/333,188 = 333,188/x
3. Step 3: Cross multiply
   153,472x = 333,188 × 333,188
4. Step 4: Simplify right side
   153,472x = 111,014,243,344
5. Step 5: Solve for x
   x = 111,014,243,344/153,472
6. Step 6: Final answer
   x = 723,351.77