Finding the Third Proportional to 117,576 and 178,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,576 : 178,825.50 = 178,825.50 : x
2. Step 2: Convert to fraction form
   117,576/178,825.50 = 178,825.50/x
3. Step 3: Cross multiply
   117,576x = 178,825.50 × 178,825.50
4. Step 4: Simplify right side
   117,576x = 31,978,559,450.25
5. Step 5: Solve for x
   x = 31,978,559,450.25/117,576
6. Step 6: Final answer
   x = 271,982.03