Finding the Third Proportional to 88,772 and 193,096

Step by Step Solution

1. Step 1: Write the proportion equation
   88,772 : 193,096 = 193,096 : x
2. Step 2: Convert to fraction form
   88,772/193,096 = 193,096/x
3. Step 3: Cross multiply
   88,772x = 193,096 × 193,096
4. Step 4: Simplify right side
   88,772x = 37,286,065,216
5. Step 5: Solve for x
   x = 37,286,065,216/88,772
6. Step 6: Final answer
   x = 420,020.56