Finding the Third Proportional to 84,111.75 and 186,735.38

Step by Step Solution

1. Step 1: Write the proportion equation
   84,111.75 : 186,735.38 = 186,735.38 : x
2. Step 2: Convert to fraction form
   84,111.75/186,735.38 = 186,735.38/x
3. Step 3: Cross multiply
   84,111.75x = 186,735.38 × 186,735.38
4. Step 4: Simplify right side
   84,111.75x = 34,870,100,276.39
5. Step 5: Solve for x
   x = 34,870,100,276.39/84,111.75
6. Step 6: Final answer
   x = 414,568.72