Finding the Third Proportional to 96,788 and 152,096

Step by Step Solution

1. Step 1: Write the proportion equation
   96,788 : 152,096 = 152,096 : x
2. Step 2: Convert to fraction form
   96,788/152,096 = 152,096/x
3. Step 3: Cross multiply
   96,788x = 152,096 × 152,096
4. Step 4: Simplify right side
   96,788x = 23,133,193,216
5. Step 5: Solve for x
   x = 23,133,193,216/96,788
6. Step 6: Final answer
   x = 239,008.90