Finding the Third Proportional to 233,786 and 334,290

Step by Step Solution

1. Step 1: Write the proportion equation
   233,786 : 334,290 = 334,290 : x
2. Step 2: Convert to fraction form
   233,786/334,290 = 334,290/x
3. Step 3: Cross multiply
   233,786x = 334,290 × 334,290
4. Step 4: Simplify right side
   233,786x = 111,749,804,100
5. Step 5: Solve for x
   x = 111,749,804,100/233,786
6. Step 6: Final answer
   x = 478,000.41