Finding the Third Proportional to 233,942 and 334,546

Step by Step Solution

1. Step 1: Write the proportion equation
   233,942 : 334,546 = 334,546 : x
2. Step 2: Convert to fraction form
   233,942/334,546 = 334,546/x
3. Step 3: Cross multiply
   233,942x = 334,546 × 334,546
4. Step 4: Simplify right side
   233,942x = 111,921,026,116
5. Step 5: Solve for x
   x = 111,921,026,116/233,942
6. Step 6: Final answer
   x = 478,413.56