Finding the Third Proportional to 111,271.50 and 165,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,271.50 : 165,649.50 = 165,649.50 : x
2. Step 2: Convert to fraction form
   111,271.50/165,649.50 = 165,649.50/x
3. Step 3: Cross multiply
   111,271.50x = 165,649.50 × 165,649.50
4. Step 4: Simplify right side
   111,271.50x = 27,439,756,850.25
5. Step 5: Solve for x
   x = 27,439,756,850.25/111,271.50
6. Step 6: Final answer
   x = 246,601.84