Finding the Third Proportional to 108,546 and 232,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,546 : 232,666.50 = 232,666.50 : x
2. Step 2: Convert to fraction form
   108,546/232,666.50 = 232,666.50/x
3. Step 3: Cross multiply
   108,546x = 232,666.50 × 232,666.50
4. Step 4: Simplify right side
   108,546x = 54,133,700,222.25
5. Step 5: Solve for x
   x = 54,133,700,222.25/108,546
6. Step 6: Final answer
   x = 498,716.68