Finding the Third Proportional to 117,910.69 and 186,834.09

Step by Step Solution

1. Step 1: Write the proportion equation
   117,910.69 : 186,834.09 = 186,834.09 : x
2. Step 2: Convert to fraction form
   117,910.69/186,834.09 = 186,834.09/x
3. Step 3: Cross multiply
   117,910.69x = 186,834.09 × 186,834.09
4. Step 4: Simplify right side
   117,910.69x = 34,906,978,587.38
5. Step 5: Solve for x
   x = 34,906,978,587.38/117,910.69
6. Step 6: Final answer
   x = 296,045.93