Finding the Third Proportional to 113,837 and 182,905.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,837 : 182,905.50 = 182,905.50 : x
2. Step 2: Convert to fraction form
   113,837/182,905.50 = 182,905.50/x
3. Step 3: Cross multiply
   113,837x = 182,905.50 × 182,905.50
4. Step 4: Simplify right side
   113,837x = 33,454,421,930.25
5. Step 5: Solve for x
   x = 33,454,421,930.25/113,837
6. Step 6: Final answer
   x = 293,880.04