Finding the Third Proportional to 182,380 and 280,158

Step by Step Solution

1. Step 1: Write the proportion equation
   182,380 : 280,158 = 280,158 : x
2. Step 2: Convert to fraction form
   182,380/280,158 = 280,158/x
3. Step 3: Cross multiply
   182,380x = 280,158 × 280,158
4. Step 4: Simplify right side
   182,380x = 78,488,504,964
5. Step 5: Solve for x
   x = 78,488,504,964/182,380
6. Step 6: Final answer
   x = 430,356.97