Finding the Third Proportional to 233,760 and 333,126

Step by Step Solution

1. Step 1: Write the proportion equation
   233,760 : 333,126 = 333,126 : x
2. Step 2: Convert to fraction form
   233,760/333,126 = 333,126/x
3. Step 3: Cross multiply
   233,760x = 333,126 × 333,126
4. Step 4: Simplify right side
   233,760x = 110,972,931,876
5. Step 5: Solve for x
   x = 110,972,931,876/233,760
6. Step 6: Final answer
   x = 474,730.20