Finding the Third Proportional to 233,959.50 and 334,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,959.50 : 334,570.50 = 334,570.50 : x
2. Step 2: Convert to fraction form
   233,959.50/334,570.50 = 334,570.50/x
3. Step 3: Cross multiply
   233,959.50x = 334,570.50 × 334,570.50
4. Step 4: Simplify right side
   233,959.50x = 111,937,419,470.25
5. Step 5: Solve for x
   x = 111,937,419,470.25/233,959.50
6. Step 6: Final answer
   x = 478,447.85