Finding the Third Proportional to 153,456 and 333,156

Step by Step Solution

1. Step 1: Write the proportion equation
   153,456 : 333,156 = 333,156 : x
2. Step 2: Convert to fraction form
   153,456/333,156 = 333,156/x
3. Step 3: Cross multiply
   153,456x = 333,156 × 333,156
4. Step 4: Simplify right side
   153,456x = 110,992,920,336
5. Step 5: Solve for x
   x = 110,992,920,336/153,456
6. Step 6: Final answer
   x = 723,288.24