Finding the Third Proportional to 73,177 and 152,096

Step by Step Solution

1. Step 1: Write the proportion equation
   73,177 : 152,096 = 152,096 : x
2. Step 2: Convert to fraction form
   73,177/152,096 = 152,096/x
3. Step 3: Cross multiply
   73,177x = 152,096 × 152,096
4. Step 4: Simplify right side
   73,177x = 23,133,193,216
5. Step 5: Solve for x
   x = 23,133,193,216/73,177
6. Step 6: Final answer
   x = 316,126.56