Finding the Third Proportional to 152,284 and 334,184

Step by Step Solution

1. Step 1: Write the proportion equation
   152,284 : 334,184 = 334,184 : x
2. Step 2: Convert to fraction form
   152,284/334,184 = 334,184/x
3. Step 3: Cross multiply
   152,284x = 334,184 × 334,184
4. Step 4: Simplify right side
   152,284x = 111,678,945,856
5. Step 5: Solve for x
   x = 111,678,945,856/152,284
6. Step 6: Final answer
   x = 733,359.68