Finding the Third Proportional to 113,833.50 and 175,884

Step by Step Solution

1. Step 1: Write the proportion equation
   113,833.50 : 175,884 = 175,884 : x
2. Step 2: Convert to fraction form
   113,833.50/175,884 = 175,884/x
3. Step 3: Cross multiply
   113,833.50x = 175,884 × 175,884
4. Step 4: Simplify right side
   113,833.50x = 30,935,181,456
5. Step 5: Solve for x
   x = 30,935,181,456/113,833.50
6. Step 6: Final answer
   x = 271,758.15