Finding the Third Proportional to 84,196 and 185,960

Step by Step Solution

1. Step 1: Write the proportion equation
   84,196 : 185,960 = 185,960 : x
2. Step 2: Convert to fraction form
   84,196/185,960 = 185,960/x
3. Step 3: Cross multiply
   84,196x = 185,960 × 185,960
4. Step 4: Simplify right side
   84,196x = 34,581,121,600
5. Step 5: Solve for x
   x = 34,581,121,600/84,196
6. Step 6: Final answer
   x = 410,721.67