Finding the Third Proportional to 83,512.69 and 185,655.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,512.69 : 185,655.38 = 185,655.38 : x
2. Step 2: Convert to fraction form
   83,512.69/185,655.38 = 185,655.38/x
3. Step 3: Cross multiply
   83,512.69x = 185,655.38 × 185,655.38
4. Step 4: Simplify right side
   83,512.69x = 34,467,918,266.39
5. Step 5: Solve for x
   x = 34,467,918,266.39/83,512.69
6. Step 6: Final answer
   x = 412,726.73