Finding the Third Proportional to 178,367 and 261,152

Step by Step Solution

1. Step 1: Write the proportion equation
   178,367 : 261,152 = 261,152 : x
2. Step 2: Convert to fraction form
   178,367/261,152 = 261,152/x
3. Step 3: Cross multiply
   178,367x = 261,152 × 261,152
4. Step 4: Simplify right side
   178,367x = 68,200,367,104
5. Step 5: Solve for x
   x = 68,200,367,104/178,367
6. Step 6: Final answer
   x = 382,359.78