Finding the Third Proportional to 178,281 and 262,116

Step by Step Solution

1. Step 1: Write the proportion equation
   178,281 : 262,116 = 262,116 : x
2. Step 2: Convert to fraction form
   178,281/262,116 = 262,116/x
3. Step 3: Cross multiply
   178,281x = 262,116 × 262,116
4. Step 4: Simplify right side
   178,281x = 68,704,797,456
5. Step 5: Solve for x
   x = 68,704,797,456/178,281
6. Step 6: Final answer
   x = 385,373.64