Finding the Third Proportional to 152,388 and 334,296

Step by Step Solution

1. Step 1: Write the proportion equation
   152,388 : 334,296 = 334,296 : x
2. Step 2: Convert to fraction form
   152,388/334,296 = 334,296/x
3. Step 3: Cross multiply
   152,388x = 334,296 × 334,296
4. Step 4: Simplify right side
   152,388x = 111,753,815,616
5. Step 5: Solve for x
   x = 111,753,815,616/152,388
6. Step 6: Final answer
   x = 733,350.50