Finding the Third Proportional to 111,565.69 and 165,196.13

Step by Step Solution

1. Step 1: Write the proportion equation
   111,565.69 : 165,196.13 = 165,196.13 : x
2. Step 2: Convert to fraction form
   111,565.69/165,196.13 = 165,196.13/x
3. Step 3: Cross multiply
   111,565.69x = 165,196.13 × 165,196.13
4. Step 4: Simplify right side
   111,565.69x = 27,289,759,715.02
5. Step 5: Solve for x
   x = 27,289,759,715.02/111,565.69
6. Step 6: Final answer
   x = 244,607.10