Finding the Third Proportional to 152,280 and 334,176

Step by Step Solution

1. Step 1: Write the proportion equation
   152,280 : 334,176 = 334,176 : x
2. Step 2: Convert to fraction form
   152,280/334,176 = 334,176/x
3. Step 3: Cross multiply
   152,280x = 334,176 × 334,176
4. Step 4: Simplify right side
   152,280x = 111,673,598,976
5. Step 5: Solve for x
   x = 111,673,598,976/152,280
6. Step 6: Final answer
   x = 733,343.83