Finding the Third Proportional to 113,188.50 and 235,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,188.50 : 235,678.50 = 235,678.50 : x
2. Step 2: Convert to fraction form
   113,188.50/235,678.50 = 235,678.50/x
3. Step 3: Cross multiply
   113,188.50x = 235,678.50 × 235,678.50
4. Step 4: Simplify right side
   113,188.50x = 55,544,355,362.25
5. Step 5: Solve for x
   x = 55,544,355,362.25/113,188.50
6. Step 6: Final answer
   x = 490,724.37