Finding the Third Proportional to 119,757 and 166,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,757 : 166,510.50 = 166,510.50 : x
2. Step 2: Convert to fraction form
   119,757/166,510.50 = 166,510.50/x
3. Step 3: Cross multiply
   119,757x = 166,510.50 × 166,510.50
4. Step 4: Simplify right side
   119,757x = 27,725,746,610.25
5. Step 5: Solve for x
   x = 27,725,746,610.25/119,757
6. Step 6: Final answer
   x = 231,516.71