Finding the Third Proportional to 122,724 and 165,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,724 : 165,760.50 = 165,760.50 : x
2. Step 2: Convert to fraction form
   122,724/165,760.50 = 165,760.50/x
3. Step 3: Cross multiply
   122,724x = 165,760.50 × 165,760.50
4. Step 4: Simplify right side
   122,724x = 27,476,543,360.25
5. Step 5: Solve for x
   x = 27,476,543,360.25/122,724
6. Step 6: Final answer
   x = 223,888.92