Finding the Third Proportional to 119,751 and 166,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,751 : 166,504.50 = 166,504.50 : x
2. Step 2: Convert to fraction form
   119,751/166,504.50 = 166,504.50/x
3. Step 3: Cross multiply
   119,751x = 166,504.50 × 166,504.50
4. Step 4: Simplify right side
   119,751x = 27,723,748,520.25
5. Step 5: Solve for x
   x = 27,723,748,520.25/119,751
6. Step 6: Final answer
   x = 231,511.62