Finding the Third Proportional to 152,800 and 361,288

Step by Step Solution

1. Step 1: Write the proportion equation
   152,800 : 361,288 = 361,288 : x
2. Step 2: Convert to fraction form
   152,800/361,288 = 361,288/x
3. Step 3: Cross multiply
   152,800x = 361,288 × 361,288
4. Step 4: Simplify right side
   152,800x = 130,529,018,944
5. Step 5: Solve for x
   x = 130,529,018,944/152,800
6. Step 6: Final answer
   x = 854,247.51