Finding the Third Proportional to 84,974 and 186,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,974 : 186,723.50 = 186,723.50 : x
2. Step 2: Convert to fraction form
   84,974/186,723.50 = 186,723.50/x
3. Step 3: Cross multiply
   84,974x = 186,723.50 × 186,723.50
4. Step 4: Simplify right side
   84,974x = 34,865,665,452.25
5. Step 5: Solve for x
   x = 34,865,665,452.25/84,974
6. Step 6: Final answer
   x = 410,309.81