Finding the Third Proportional to 152,736 and 334,560

Step by Step Solution

1. Step 1: Write the proportion equation
   152,736 : 334,560 = 334,560 : x
2. Step 2: Convert to fraction form
   152,736/334,560 = 334,560/x
3. Step 3: Cross multiply
   152,736x = 334,560 × 334,560
4. Step 4: Simplify right side
   152,736x = 111,930,393,600
5. Step 5: Solve for x
   x = 111,930,393,600/152,736
6. Step 6: Final answer
   x = 732,835.70