Finding the Third Proportional to 152,392 and 334,304

Step by Step Solution

1. Step 1: Write the proportion equation
   152,392 : 334,304 = 334,304 : x
2. Step 2: Convert to fraction form
   152,392/334,304 = 334,304/x
3. Step 3: Cross multiply
   152,392x = 334,304 × 334,304
4. Step 4: Simplify right side
   152,392x = 111,759,164,416
5. Step 5: Solve for x
   x = 111,759,164,416/152,392
6. Step 6: Final answer
   x = 733,366.35