Finding the Third Proportional to 119,758.50 and 166,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,758.50 : 166,513.50 = 166,513.50 : x
2. Step 2: Convert to fraction form
   119,758.50/166,513.50 = 166,513.50/x
3. Step 3: Cross multiply
   119,758.50x = 166,513.50 × 166,513.50
4. Step 4: Simplify right side
   119,758.50x = 27,726,745,682.25
5. Step 5: Solve for x
   x = 27,726,745,682.25/119,758.50
6. Step 6: Final answer
   x = 231,522.15