Finding the Third Proportional to 152,286 and 334,188

Step by Step Solution

1. Step 1: Write the proportion equation
   152,286 : 334,188 = 334,188 : x
2. Step 2: Convert to fraction form
   152,286/334,188 = 334,188/x
3. Step 3: Cross multiply
   152,286x = 334,188 × 334,188
4. Step 4: Simplify right side
   152,286x = 111,681,619,344
5. Step 5: Solve for x
   x = 111,681,619,344/152,286
6. Step 6: Final answer
   x = 733,367.61