Finding the Third Proportional to 81,969 and 178,152

Step by Step Solution

1. Step 1: Write the proportion equation
   81,969 : 178,152 = 178,152 : x
2. Step 2: Convert to fraction form
   81,969/178,152 = 178,152/x
3. Step 3: Cross multiply
   81,969x = 178,152 × 178,152
4. Step 4: Simplify right side
   81,969x = 31,738,135,104
5. Step 5: Solve for x
   x = 31,738,135,104/81,969
6. Step 6: Final answer
   x = 387,196.81