Finding the Third Proportional to 113,848.50 and 175,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,848.50 : 175,906.50 = 175,906.50 : x
2. Step 2: Convert to fraction form
   113,848.50/175,906.50 = 175,906.50/x
3. Step 3: Cross multiply
   113,848.50x = 175,906.50 × 175,906.50
4. Step 4: Simplify right side
   113,848.50x = 30,943,096,742.25
5. Step 5: Solve for x
   x = 30,943,096,742.25/113,848.50
6. Step 6: Final answer
   x = 271,791.87