Finding the Third Proportional to 192,808.50 and 415,216

Step by Step Solution

1. Step 1: Write the proportion equation
   192,808.50 : 415,216 = 415,216 : x
2. Step 2: Convert to fraction form
   192,808.50/415,216 = 415,216/x
3. Step 3: Cross multiply
   192,808.50x = 415,216 × 415,216
4. Step 4: Simplify right side
   192,808.50x = 172,404,326,656
5. Step 5: Solve for x
   x = 172,404,326,656/192,808.50
6. Step 6: Final answer
   x = 894,173.89